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Finding the Fourth Proportional to 656,875.66, 906,515.31 and 415,070

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Solution

The fourth proportional to 656,875.66, 906,515.31 and 415,070 is: 572,813.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,875.66 : 906,515.31 = 415,070 : x
  2. Step 2: Convert to fraction form
    656,875.66/906,515.31 = 415,070/x
  3. Step 3: Cross multiply
    656,875.66x = 906,515.31 × 415,070
  4. Step 4: Simplify right side
    656,875.66x = 376,267,309,721.70
  5. Step 5: Solve for x
    x = 376,267,309,721.70/656,875.66
  6. Step 6: Final answer
    x = 572,813.60

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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.