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Finding the Fourth Proportional to 472,672.20, 652,295.42 and 257,812.28

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Solution

The fourth proportional to 472,672.20, 652,295.42 and 257,812.28 is: 355,785.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,672.20 : 652,295.42 = 257,812.28 : x
  2. Step 2: Convert to fraction form
    472,672.20/652,295.42 = 257,812.28/x
  3. Step 3: Cross multiply
    472,672.20x = 652,295.42 × 257,812.28
  4. Step 4: Simplify right side
    472,672.20x = 168,169,769,463.76
  5. Step 5: Solve for x
    x = 168,169,769,463.76/472,672.20
  6. Step 6: Final answer
    x = 355,785.19

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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.