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Finding the Fourth Proportional to 657,284.80, 985,538.40 and 342,356.80

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Solution

The fourth proportional to 657,284.80, 985,538.40 and 342,356.80 is: 513,332.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,284.80 : 985,538.40 = 342,356.80 : x
  2. Step 2: Convert to fraction form
    657,284.80/985,538.40 = 342,356.80/x
  3. Step 3: Cross multiply
    657,284.80x = 985,538.40 × 342,356.80
  4. Step 4: Simplify right side
    657,284.80x = 337,405,772,901.12
  5. Step 5: Solve for x
    x = 337,405,772,901.12/657,284.80
  6. Step 6: Final answer
    x = 513,332.69

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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.