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Finding the Fourth Proportional to 643,332.72, 965,328.42 and 283,754.28

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Solution

The fourth proportional to 643,332.72, 965,328.42 and 283,754.28 is: 425,776.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,332.72 : 965,328.42 = 283,754.28 : x
  2. Step 2: Convert to fraction form
    643,332.72/965,328.42 = 283,754.28/x
  3. Step 3: Cross multiply
    643,332.72x = 965,328.42 × 283,754.28
  4. Step 4: Simplify right side
    643,332.72x = 273,916,070,780.64
  5. Step 5: Solve for x
    x = 273,916,070,780.64/643,332.72
  6. Step 6: Final answer
    x = 425,776.68

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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.