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Finding the Fourth Proportional to 553,013.87, 829,520.42 and 153,654.45

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Solution

The fourth proportional to 553,013.87, 829,520.42 and 153,654.45 is: 230,481.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,013.87 : 829,520.42 = 153,654.45 : x
  2. Step 2: Convert to fraction form
    553,013.87/829,520.42 = 153,654.45/x
  3. Step 3: Cross multiply
    553,013.87x = 829,520.42 × 153,654.45
  4. Step 4: Simplify right side
    553,013.87x = 127,459,504,685.95
  5. Step 5: Solve for x
    x = 127,459,504,685.95/553,013.87
  6. Step 6: Final answer
    x = 230,481.57

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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.