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Finding the Fourth Proportional to 280,294.92, 386,815.30 and 152,978.76

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Solution

The fourth proportional to 280,294.92, 386,815.30 and 152,978.76 is: 211,115.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,294.92 : 386,815.30 = 152,978.76 : x
  2. Step 2: Convert to fraction form
    280,294.92/386,815.30 = 152,978.76/x
  3. Step 3: Cross multiply
    280,294.92x = 386,815.30 × 152,978.76
  4. Step 4: Simplify right side
    280,294.92x = 59,174,524,943.03
  5. Step 5: Solve for x
    x = 59,174,524,943.03/280,294.92
  6. Step 6: Final answer
    x = 211,115.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.