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Finding the Fourth Proportional to 657,646.40, 986,930.40 and 283,937.60

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Solution

The fourth proportional to 657,646.40, 986,930.40 and 283,937.60 is: 426,105.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,646.40 : 986,930.40 = 283,937.60 : x
  2. Step 2: Convert to fraction form
    657,646.40/986,930.40 = 283,937.60/x
  3. Step 3: Cross multiply
    657,646.40x = 986,930.40 × 283,937.60
  4. Step 4: Simplify right side
    657,646.40x = 280,226,649,143.04
  5. Step 5: Solve for x
    x = 280,226,649,143.04/657,646.40
  6. Step 6: Final answer
    x = 426,105.35

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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.