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Finding the Fourth Proportional to 280,007.92, 386,402.48 and 152,686

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Solution

The fourth proportional to 280,007.92, 386,402.48 and 152,686 is: 210,702.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,007.92 : 386,402.48 = 152,686 : x
  2. Step 2: Convert to fraction form
    280,007.92/386,402.48 = 152,686/x
  3. Step 3: Cross multiply
    280,007.92x = 386,402.48 × 152,686
  4. Step 4: Simplify right side
    280,007.92x = 58,998,249,061.28
  5. Step 5: Solve for x
    x = 58,998,249,061.28/280,007.92
  6. Step 6: Final answer
    x = 210,702.07

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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.