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Finding the Fourth Proportional to 656,874.66, 906,513.93 and 415,069

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Solution

The fourth proportional to 656,874.66, 906,513.93 and 415,069 is: 572,812.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,874.66 : 906,513.93 = 415,069 : x
  2. Step 2: Convert to fraction form
    656,874.66/906,513.93 = 415,069/x
  3. Step 3: Cross multiply
    656,874.66x = 906,513.93 × 415,069
  4. Step 4: Simplify right side
    656,874.66x = 376,265,830,411.17
  5. Step 5: Solve for x
    x = 376,265,830,411.17/656,874.66
  6. Step 6: Final answer
    x = 572,812.22

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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.