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Finding the Fourth Proportional to 382,298.56, 573,089.68 and 129,402.07

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Solution

The fourth proportional to 382,298.56, 573,089.68 and 129,402.07 is: 193,981.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,298.56 : 573,089.68 = 129,402.07 : x
  2. Step 2: Convert to fraction form
    382,298.56/573,089.68 = 129,402.07/x
  3. Step 3: Cross multiply
    382,298.56x = 573,089.68 × 129,402.07
  4. Step 4: Simplify right side
    382,298.56x = 74,158,990,887.64
  5. Step 5: Solve for x
    x = 74,158,990,887.64/382,298.56
  6. Step 6: Final answer
    x = 193,981.87

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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.