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Finding the Fourth Proportional to 375,616.80, 564,008.40 and 218,152.80

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Solution

The fourth proportional to 375,616.80, 564,008.40 and 218,152.80 is: 327,567.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,616.80 : 564,008.40 = 218,152.80 : x
  2. Step 2: Convert to fraction form
    375,616.80/564,008.40 = 218,152.80/x
  3. Step 3: Cross multiply
    375,616.80x = 564,008.40 × 218,152.80
  4. Step 4: Simplify right side
    375,616.80x = 123,040,011,683.52
  5. Step 5: Solve for x
    x = 123,040,011,683.52/375,616.80
  6. Step 6: Final answer
    x = 327,567.91

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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.