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Finding the Fourth Proportional to 498,234.80, 745,383.90 and 432,406.10

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Solution

The fourth proportional to 498,234.80, 745,383.90 and 432,406.10 is: 646,900.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,234.80 : 745,383.90 = 432,406.10 : x
  2. Step 2: Convert to fraction form
    498,234.80/745,383.90 = 432,406.10/x
  3. Step 3: Cross multiply
    498,234.80x = 745,383.90 × 432,406.10
  4. Step 4: Simplify right side
    498,234.80x = 322,308,545,201.79
  5. Step 5: Solve for x
    x = 322,308,545,201.79/498,234.80
  6. Step 6: Final answer
    x = 646,900.91

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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.