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Finding the Fourth Proportional to 642,814.20, 963,565.20 and 376,437.60

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Solution

The fourth proportional to 642,814.20, 963,565.20 and 376,437.60 is: 564,272.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,814.20 : 963,565.20 = 376,437.60 : x
  2. Step 2: Convert to fraction form
    642,814.20/963,565.20 = 376,437.60/x
  3. Step 3: Cross multiply
    642,814.20x = 963,565.20 × 376,437.60
  4. Step 4: Simplify right side
    642,814.20x = 362,722,171,331.52
  5. Step 5: Solve for x
    x = 362,722,171,331.52/642,814.20
  6. Step 6: Final answer
    x = 564,272.18

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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.