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Finding the Fourth Proportional to 315,002.70, 472,504.05 and 202,809.60

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Solution

The fourth proportional to 315,002.70, 472,504.05 and 202,809.60 is: 304,214.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,002.70 : 472,504.05 = 202,809.60 : x
  2. Step 2: Convert to fraction form
    315,002.70/472,504.05 = 202,809.60/x
  3. Step 3: Cross multiply
    315,002.70x = 472,504.05 × 202,809.60
  4. Step 4: Simplify right side
    315,002.70x = 95,828,357,378.88
  5. Step 5: Solve for x
    x = 95,828,357,378.88/315,002.70
  6. Step 6: Final answer
    x = 304,214.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.