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Finding the Fourth Proportional to 315,785.80, 473,657.10 and 102,550.60

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Solution

The fourth proportional to 315,785.80, 473,657.10 and 102,550.60 is: 153,818.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,785.80 : 473,657.10 = 102,550.60 : x
  2. Step 2: Convert to fraction form
    315,785.80/473,657.10 = 102,550.60/x
  3. Step 3: Cross multiply
    315,785.80x = 473,657.10 × 102,550.60
  4. Step 4: Simplify right side
    315,785.80x = 48,573,819,799.26
  5. Step 5: Solve for x
    x = 48,573,819,799.26/315,785.80
  6. Step 6: Final answer
    x = 153,818.89

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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.