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Finding the Fourth Proportional to 280,233.62, 386,730.93 and 159,392.31

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Solution

The fourth proportional to 280,233.62, 386,730.93 and 159,392.31 is: 219,966.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,233.62 : 386,730.93 = 159,392.31 : x
  2. Step 2: Convert to fraction form
    280,233.62/386,730.93 = 159,392.31/x
  3. Step 3: Cross multiply
    280,233.62x = 386,730.93 × 159,392.31
  4. Step 4: Simplify right side
    280,233.62x = 61,641,936,281.15
  5. Step 5: Solve for x
    x = 61,641,936,281.15/280,233.62
  6. Step 6: Final answer
    x = 219,966.25

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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.