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Finding the Fourth Proportional to 280,472.82, 387,052.47 and 153,148.52

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Solution

The fourth proportional to 280,472.82, 387,052.47 and 153,148.52 is: 211,344.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,472.82 : 387,052.47 = 153,148.52 : x
  2. Step 2: Convert to fraction form
    280,472.82/387,052.47 = 153,148.52/x
  3. Step 3: Cross multiply
    280,472.82x = 387,052.47 × 153,148.52
  4. Step 4: Simplify right side
    280,472.82x = 59,276,511,007.58
  5. Step 5: Solve for x
    x = 59,276,511,007.58/280,472.82
  6. Step 6: Final answer
    x = 211,344.94

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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.