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Finding the Fourth Proportional to 433,064.91, 649,590.33 and 129,459.81

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Solution

The fourth proportional to 433,064.91, 649,590.33 and 129,459.81 is: 194,187.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,064.91 : 649,590.33 = 129,459.81 : x
  2. Step 2: Convert to fraction form
    433,064.91/649,590.33 = 129,459.81/x
  3. Step 3: Cross multiply
    433,064.91x = 649,590.33 × 129,459.81
  4. Step 4: Simplify right side
    433,064.91x = 84,095,840,699.64
  5. Step 5: Solve for x
    x = 84,095,840,699.64/433,064.91
  6. Step 6: Final answer
    x = 194,187.61

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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.