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Finding the Fourth Proportional to 657,614.70, 985,875.30 and 278,826.30

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Solution

The fourth proportional to 657,614.70, 985,875.30 and 278,826.30 is: 418,007.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,614.70 : 985,875.30 = 278,826.30 : x
  2. Step 2: Convert to fraction form
    657,614.70/985,875.30 = 278,826.30/x
  3. Step 3: Cross multiply
    657,614.70x = 985,875.30 × 278,826.30
  4. Step 4: Simplify right side
    657,614.70x = 274,887,962,160.39
  5. Step 5: Solve for x
    x = 274,887,962,160.39/657,614.70
  6. Step 6: Final answer
    x = 418,007.63

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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.