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Finding the Fourth Proportional to 654,445.42, 980,666.10 and 440,419.90

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Solution

The fourth proportional to 654,445.42, 980,666.10 and 440,419.90 is: 659,955.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,445.42 : 980,666.10 = 440,419.90 : x
  2. Step 2: Convert to fraction form
    654,445.42/980,666.10 = 440,419.90/x
  3. Step 3: Cross multiply
    654,445.42x = 980,666.10 × 440,419.90
  4. Step 4: Simplify right side
    654,445.42x = 431,904,865,695.39
  5. Step 5: Solve for x
    x = 431,904,865,695.39/654,445.42
  6. Step 6: Final answer
    x = 659,955.52

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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.