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Finding the Fourth Proportional to 657,288.40, 985,929.40 and 257,646.80

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Solution

The fourth proportional to 657,288.40, 985,929.40 and 257,646.80 is: 386,468.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,288.40 : 985,929.40 = 257,646.80 : x
  2. Step 2: Convert to fraction form
    657,288.40/985,929.40 = 257,646.80/x
  3. Step 3: Cross multiply
    657,288.40x = 985,929.40 × 257,646.80
  4. Step 4: Simplify right side
    657,288.40x = 254,021,554,935.92
  5. Step 5: Solve for x
    x = 254,021,554,935.92/657,288.40
  6. Step 6: Final answer
    x = 386,468.95

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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.