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Finding the Fourth Proportional to 419,012.38, 578,250.21 and 237,731.95

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Solution

The fourth proportional to 419,012.38, 578,250.21 and 237,731.95 is: 328,077.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,012.38 : 578,250.21 = 237,731.95 : x
  2. Step 2: Convert to fraction form
    419,012.38/578,250.21 = 237,731.95/x
  3. Step 3: Cross multiply
    419,012.38x = 578,250.21 × 237,731.95
  4. Step 4: Simplify right side
    419,012.38x = 137,468,547,119.96
  5. Step 5: Solve for x
    x = 137,468,547,119.96/419,012.38
  6. Step 6: Final answer
    x = 328,077.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.