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Finding the Fourth Proportional to 642,034.80, 965,125.80 and 456,332.40

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Solution

The fourth proportional to 642,034.80, 965,125.80 and 456,332.40 is: 685,972.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,034.80 : 965,125.80 = 456,332.40 : x
  2. Step 2: Convert to fraction form
    642,034.80/965,125.80 = 456,332.40/x
  3. Step 3: Cross multiply
    642,034.80x = 965,125.80 × 456,332.40
  4. Step 4: Simplify right side
    642,034.80x = 440,418,172,615.92
  5. Step 5: Solve for x
    x = 440,418,172,615.92/642,034.80
  6. Step 6: Final answer
    x = 685,972.43

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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.