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Finding the Fourth Proportional to 280,908.54, 387,691.11 and 180,598.14

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Solution

The fourth proportional to 280,908.54, 387,691.11 and 180,598.14 is: 249,249.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,908.54 : 387,691.11 = 180,598.14 : x
  2. Step 2: Convert to fraction form
    280,908.54/387,691.11 = 180,598.14/x
  3. Step 3: Cross multiply
    280,908.54x = 387,691.11 × 180,598.14
  4. Step 4: Simplify right side
    280,908.54x = 70,016,293,360.54
  5. Step 5: Solve for x
    x = 70,016,293,360.54/280,908.54
  6. Step 6: Final answer
    x = 249,249.43

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1.5x scale

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.