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Finding the Fourth Proportional to 657,711.77, 907,642.06 and 355,905.77

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Solution

The fourth proportional to 657,711.77, 907,642.06 and 355,905.77 is: 491,149.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,711.77 : 907,642.06 = 355,905.77 : x
  2. Step 2: Convert to fraction form
    657,711.77/907,642.06 = 355,905.77/x
  3. Step 3: Cross multiply
    657,711.77x = 907,642.06 × 355,905.77
  4. Step 4: Simplify right side
    657,711.77x = 323,035,040,820.71
  5. Step 5: Solve for x
    x = 323,035,040,820.71/657,711.77
  6. Step 6: Final answer
    x = 491,149.86

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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.