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Finding the Fourth Proportional to 315,654.50, 473,482.97 and 78,996.53

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Solution

The fourth proportional to 315,654.50, 473,482.97 and 78,996.53 is: 118,495.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,654.50 : 473,482.97 = 78,996.53 : x
  2. Step 2: Convert to fraction form
    315,654.50/473,482.97 = 78,996.53/x
  3. Step 3: Cross multiply
    315,654.50x = 473,482.97 × 78,996.53
  4. Step 4: Simplify right side
    315,654.50x = 37,403,511,644.09
  5. Step 5: Solve for x
    x = 37,403,511,644.09/315,654.50
  6. Step 6: Final answer
    x = 118,495.10

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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.