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Finding the Fourth Proportional to 375,622.80, 564,017.40 and 218,158.80

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Solution

The fourth proportional to 375,622.80, 564,017.40 and 218,158.80 is: 327,576.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,622.80 : 564,017.40 = 218,158.80 : x
  2. Step 2: Convert to fraction form
    375,622.80/564,017.40 = 218,158.80/x
  3. Step 3: Cross multiply
    375,622.80x = 564,017.40 × 218,158.80
  4. Step 4: Simplify right side
    375,622.80x = 123,045,359,163.12
  5. Step 5: Solve for x
    x = 123,045,359,163.12/375,622.80
  6. Step 6: Final answer
    x = 327,576.92

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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.