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Finding the Fourth Proportional to 497,409.56, 745,490.02 and 391,811.48

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Solution

The fourth proportional to 497,409.56, 745,490.02 and 391,811.48 is: 587,225.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,409.56 : 745,490.02 = 391,811.48 : x
  2. Step 2: Convert to fraction form
    497,409.56/745,490.02 = 391,811.48/x
  3. Step 3: Cross multiply
    497,409.56x = 745,490.02 × 391,811.48
  4. Step 4: Simplify right side
    497,409.56x = 292,091,548,061.43
  5. Step 5: Solve for x
    x = 292,091,548,061.43/497,409.56
  6. Step 6: Final answer
    x = 587,225.44

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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.