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Finding the Fourth Proportional to 415,348.39, 623,127.67 and 115,829

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Solution

The fourth proportional to 415,348.39, 623,127.67 and 115,829 is: 173,772.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,348.39 : 623,127.67 = 115,829 : x
  2. Step 2: Convert to fraction form
    415,348.39/623,127.67 = 115,829/x
  3. Step 3: Cross multiply
    415,348.39x = 623,127.67 × 115,829
  4. Step 4: Simplify right side
    415,348.39x = 72,176,254,888.43
  5. Step 5: Solve for x
    x = 72,176,254,888.43/415,348.39
  6. Step 6: Final answer
    x = 173,772.81

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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.