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Finding the Fourth Proportional to 458,590.08, 687,474.72 and 178,040.64

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Solution

The fourth proportional to 458,590.08, 687,474.72 and 178,040.64 is: 266,901.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,590.08 : 687,474.72 = 178,040.64 : x
  2. Step 2: Convert to fraction form
    458,590.08/687,474.72 = 178,040.64/x
  3. Step 3: Cross multiply
    458,590.08x = 687,474.72 × 178,040.64
  4. Step 4: Simplify right side
    458,590.08x = 122,398,439,132.62
  5. Step 5: Solve for x
    x = 122,398,439,132.62/458,590.08
  6. Step 6: Final answer
    x = 266,901.63

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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.