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Finding the Fourth Proportional to 375,704.90, 563,557.35 and 218,338.10

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Solution

The fourth proportional to 375,704.90, 563,557.35 and 218,338.10 is: 327,507.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,704.90 : 563,557.35 = 218,338.10 : x
  2. Step 2: Convert to fraction form
    375,704.90/563,557.35 = 218,338.10/x
  3. Step 3: Cross multiply
    375,704.90x = 563,557.35 × 218,338.10
  4. Step 4: Simplify right side
    375,704.90x = 123,046,041,040.04
  5. Step 5: Solve for x
    x = 123,046,041,040.04/375,704.90
  6. Step 6: Final answer
    x = 327,507.15

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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.