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Finding the Fourth Proportional to 228,500.64, 342,565.02 and 153,391.74

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Solution

The fourth proportional to 228,500.64, 342,565.02 and 153,391.74 is: 229,962.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,500.64 : 342,565.02 = 153,391.74 : x
  2. Step 2: Convert to fraction form
    228,500.64/342,565.02 = 153,391.74/x
  3. Step 3: Cross multiply
    228,500.64x = 342,565.02 × 153,391.74
  4. Step 4: Simplify right side
    228,500.64x = 52,546,644,480.93
  5. Step 5: Solve for x
    x = 52,546,644,480.93/228,500.64
  6. Step 6: Final answer
    x = 229,962.79

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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.