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Finding the Fourth Proportional to 280,558.81, 387,171.16 and 153,234.71

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Solution

The fourth proportional to 280,558.81, 387,171.16 and 153,234.71 is: 211,463.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,558.81 : 387,171.16 = 153,234.71 : x
  2. Step 2: Convert to fraction form
    280,558.81/387,171.16 = 153,234.71/x
  3. Step 3: Cross multiply
    280,558.81x = 387,171.16 × 153,234.71
  4. Step 4: Simplify right side
    280,558.81x = 59,328,060,422.96
  5. Step 5: Solve for x
    x = 59,328,060,422.96/280,558.81
  6. Step 6: Final answer
    x = 211,463.90

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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.