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Finding the Fourth Proportional to 497,978.70, 745,983.90 and 272,936.40

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Solution

The fourth proportional to 497,978.70, 745,983.90 and 272,936.40 is: 408,865.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,978.70 : 745,983.90 = 272,936.40 : x
  2. Step 2: Convert to fraction form
    497,978.70/745,983.90 = 272,936.40/x
  3. Step 3: Cross multiply
    497,978.70x = 745,983.90 × 272,936.40
  4. Step 4: Simplify right side
    497,978.70x = 203,606,160,123.96
  5. Step 5: Solve for x
    x = 203,606,160,123.96/497,978.70
  6. Step 6: Final answer
    x = 408,865.20

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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.