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Finding the Fourth Proportional to 574,235.81, 861,288.10 and 153,544.49

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Solution

The fourth proportional to 574,235.81, 861,288.10 and 153,544.49 is: 230,299.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,235.81 : 861,288.10 = 153,544.49 : x
  2. Step 2: Convert to fraction form
    574,235.81/861,288.10 = 153,544.49/x
  3. Step 3: Cross multiply
    574,235.81x = 861,288.10 × 153,544.49
  4. Step 4: Simplify right side
    574,235.81x = 132,246,036,983.41
  5. Step 5: Solve for x
    x = 132,246,036,983.41/574,235.81
  6. Step 6: Final answer
    x = 230,299.18

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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.