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Finding the Fourth Proportional to 315,781.60, 473,704.28 and 102,540.60

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Solution

The fourth proportional to 315,781.60, 473,704.28 and 102,540.60 is: 153,821.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,781.60 : 473,704.28 = 102,540.60 : x
  2. Step 2: Convert to fraction form
    315,781.60/473,704.28 = 102,540.60/x
  3. Step 3: Cross multiply
    315,781.60x = 473,704.28 × 102,540.60
  4. Step 4: Simplify right side
    315,781.60x = 48,573,921,093.77
  5. Step 5: Solve for x
    x = 48,573,921,093.77/315,781.60
  6. Step 6: Final answer
    x = 153,821.25

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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.