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Finding the Fourth Proportional to 458,319, 632,470.70 and 254,358.07

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Solution

The fourth proportional to 458,319, 632,470.70 and 254,358.07 is: 351,008.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,319 : 632,470.70 = 254,358.07 : x
  2. Step 2: Convert to fraction form
    458,319/632,470.70 = 254,358.07/x
  3. Step 3: Cross multiply
    458,319x = 632,470.70 × 254,358.07
  4. Step 4: Simplify right side
    458,319x = 160,874,026,583.55
  5. Step 5: Solve for x
    x = 160,874,026,583.55/458,319
  6. Step 6: Final answer
    x = 351,008.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.