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Finding the Fourth Proportional to 382,045.86, 573,035.76 and 129,320.91

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Solution

The fourth proportional to 382,045.86, 573,035.76 and 129,320.91 is: 193,970.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,045.86 : 573,035.76 = 129,320.91 : x
  2. Step 2: Convert to fraction form
    382,045.86/573,035.76 = 129,320.91/x
  3. Step 3: Cross multiply
    382,045.86x = 573,035.76 × 129,320.91
  4. Step 4: Simplify right side
    382,045.86x = 74,105,505,945.74
  5. Step 5: Solve for x
    x = 74,105,505,945.74/382,045.86
  6. Step 6: Final answer
    x = 193,970.18

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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.