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Finding the Fourth Proportional to 497,016.20, 745,913.10 and 230,809.70

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Solution

The fourth proportional to 497,016.20, 745,913.10 and 230,809.70 is: 346,395.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,016.20 : 745,913.10 = 230,809.70 : x
  2. Step 2: Convert to fraction form
    497,016.20/745,913.10 = 230,809.70/x
  3. Step 3: Cross multiply
    497,016.20x = 745,913.10 × 230,809.70
  4. Step 4: Simplify right side
    497,016.20x = 172,163,978,837.07
  5. Step 5: Solve for x
    x = 172,163,978,837.07/497,016.20
  6. Step 6: Final answer
    x = 346,395.11

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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.