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Finding the Fourth Proportional to 614,439.20, 921,658.80 and 564,672.80

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Solution

The fourth proportional to 614,439.20, 921,658.80 and 564,672.80 is: 847,009.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,439.20 : 921,658.80 = 564,672.80 : x
  2. Step 2: Convert to fraction form
    614,439.20/921,658.80 = 564,672.80/x
  3. Step 3: Cross multiply
    614,439.20x = 921,658.80 × 564,672.80
  4. Step 4: Simplify right side
    614,439.20x = 520,435,655,240.64
  5. Step 5: Solve for x
    x = 520,435,655,240.64/614,439.20
  6. Step 6: Final answer
    x = 847,009.20

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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.