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Finding the Fourth Proportional to 452,978.40, 679,294.80 and 137,330.40

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Solution

The fourth proportional to 452,978.40, 679,294.80 and 137,330.40 is: 205,943.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,978.40 : 679,294.80 = 137,330.40 : x
  2. Step 2: Convert to fraction form
    452,978.40/679,294.80 = 137,330.40/x
  3. Step 3: Cross multiply
    452,978.40x = 679,294.80 × 137,330.40
  4. Step 4: Simplify right side
    452,978.40x = 93,287,826,601.92
  5. Step 5: Solve for x
    x = 93,287,826,601.92/452,978.40
  6. Step 6: Final answer
    x = 205,943.21

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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.