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Finding the Fourth Proportional to 305,442.48, 460,223.40 and 253,291.44

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Solution

The fourth proportional to 305,442.48, 460,223.40 and 253,291.44 is: 381,645.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,442.48 : 460,223.40 = 253,291.44 : x
  2. Step 2: Convert to fraction form
    305,442.48/460,223.40 = 253,291.44/x
  3. Step 3: Cross multiply
    305,442.48x = 460,223.40 × 253,291.44
  4. Step 4: Simplify right side
    305,442.48x = 116,570,647,707.70
  5. Step 5: Solve for x
    x = 116,570,647,707.70/305,442.48
  6. Step 6: Final answer
    x = 381,645.17

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.