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Finding the Fourth Proportional to 431,614.40, 647,421.60 and 282,315.20

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Solution

The fourth proportional to 431,614.40, 647,421.60 and 282,315.20 is: 423,472.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,614.40 : 647,421.60 = 282,315.20 : x
  2. Step 2: Convert to fraction form
    431,614.40/647,421.60 = 282,315.20/x
  3. Step 3: Cross multiply
    431,614.40x = 647,421.60 × 282,315.20
  4. Step 4: Simplify right side
    431,614.40x = 182,776,958,488.32
  5. Step 5: Solve for x
    x = 182,776,958,488.32/431,614.40
  6. Step 6: Final answer
    x = 423,472.80

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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.