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Finding the Fourth Proportional to 280,793.68, 387,753.96 and 180,366.64

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Solution

The fourth proportional to 280,793.68, 387,753.96 and 180,366.64 is: 249,072.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,793.68 : 387,753.96 = 180,366.64 : x
  2. Step 2: Convert to fraction form
    280,793.68/387,753.96 = 180,366.64/x
  3. Step 3: Cross multiply
    280,793.68x = 387,753.96 × 180,366.64
  4. Step 4: Simplify right side
    280,793.68x = 69,937,878,911.89
  5. Step 5: Solve for x
    x = 69,937,878,911.89/280,793.68
  6. Step 6: Final answer
    x = 249,072.13

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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.