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Finding the Fourth Proportional to 657,859.17, 907,848.42 and 356,053.17

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Solution

The fourth proportional to 657,859.17, 907,848.42 and 356,053.17 is: 491,354.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,859.17 : 907,848.42 = 356,053.17 : x
  2. Step 2: Convert to fraction form
    657,859.17/907,848.42 = 356,053.17/x
  3. Step 3: Cross multiply
    657,859.17x = 907,848.42 × 356,053.17
  4. Step 4: Simplify right side
    657,859.17x = 323,242,311,892.52
  5. Step 5: Solve for x
    x = 323,242,311,892.52/657,859.17
  6. Step 6: Final answer
    x = 491,354.87

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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.