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Finding the Fourth Proportional to 513,686.63, 770,535.14 and 229,391.64

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Solution

The fourth proportional to 513,686.63, 770,535.14 and 229,391.64 is: 344,089.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,686.63 : 770,535.14 = 229,391.64 : x
  2. Step 2: Convert to fraction form
    513,686.63/770,535.14 = 229,391.64/x
  3. Step 3: Cross multiply
    513,686.63x = 770,535.14 × 229,391.64
  4. Step 4: Simplify right side
    513,686.63x = 176,754,318,295.27
  5. Step 5: Solve for x
    x = 176,754,318,295.27/513,686.63
  6. Step 6: Final answer
    x = 344,089.78

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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.