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Finding the Fourth Proportional to 384,001.70, 576,002.55 and 216,040.10

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Solution

The fourth proportional to 384,001.70, 576,002.55 and 216,040.10 is: 324,060.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,001.70 : 576,002.55 = 216,040.10 : x
  2. Step 2: Convert to fraction form
    384,001.70/576,002.55 = 216,040.10/x
  3. Step 3: Cross multiply
    384,001.70x = 576,002.55 × 216,040.10
  4. Step 4: Simplify right side
    384,001.70x = 124,439,648,502.26
  5. Step 5: Solve for x
    x = 124,439,648,502.26/384,001.70
  6. Step 6: Final answer
    x = 324,060.15

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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.