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Finding the Fourth Proportional to 382,428.81, 573,561.20 and 157,730.96

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Solution

The fourth proportional to 382,428.81, 573,561.20 and 157,730.96 is: 236,562.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,428.81 : 573,561.20 = 157,730.96 : x
  2. Step 2: Convert to fraction form
    382,428.81/573,561.20 = 157,730.96/x
  3. Step 3: Cross multiply
    382,428.81x = 573,561.20 × 157,730.96
  4. Step 4: Simplify right side
    382,428.81x = 90,468,360,522.98
  5. Step 5: Solve for x
    x = 90,468,360,522.98/382,428.81
  6. Step 6: Final answer
    x = 236,562.62

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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.