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Finding the Fourth Proportional to 474,854.88, 712,276.56 and 142,428

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Solution

The fourth proportional to 474,854.88, 712,276.56 and 142,428 is: 213,640.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,854.88 : 712,276.56 = 142,428 : x
  2. Step 2: Convert to fraction form
    474,854.88/712,276.56 = 142,428/x
  3. Step 3: Cross multiply
    474,854.88x = 712,276.56 × 142,428
  4. Step 4: Simplify right side
    474,854.88x = 101,448,125,887.68
  5. Step 5: Solve for x
    x = 101,448,125,887.68/474,854.88
  6. Step 6: Final answer
    x = 213,640.27

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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.