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Finding the Fourth Proportional to 277,148.52, 415,411.74 and 137,005.56

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Solution

The fourth proportional to 277,148.52, 415,411.74 and 137,005.56 is: 205,354.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,148.52 : 415,411.74 = 137,005.56 : x
  2. Step 2: Convert to fraction form
    277,148.52/415,411.74 = 137,005.56/x
  3. Step 3: Cross multiply
    277,148.52x = 415,411.74 × 137,005.56
  4. Step 4: Simplify right side
    277,148.52x = 56,913,718,069.27
  5. Step 5: Solve for x
    x = 56,913,718,069.27/277,148.52
  6. Step 6: Final answer
    x = 205,354.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.