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Finding the Fourth Proportional to 497,299.49, 745,954.46 and 398,090.35

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Solution

The fourth proportional to 497,299.49, 745,954.46 and 398,090.35 is: 597,139.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,299.49 : 745,954.46 = 398,090.35 : x
  2. Step 2: Convert to fraction form
    497,299.49/745,954.46 = 398,090.35/x
  3. Step 3: Cross multiply
    497,299.49x = 745,954.46 × 398,090.35
  4. Step 4: Simplify right side
    497,299.49x = 296,957,266,345.24
  5. Step 5: Solve for x
    x = 296,957,266,345.24/497,299.49
  6. Step 6: Final answer
    x = 597,139.70

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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.