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Finding the Fourth Proportional to 424,428.50, 585,414.74 and 288,226.01

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Solution

The fourth proportional to 424,428.50, 585,414.74 and 288,226.01 is: 397,550.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,428.50 : 585,414.74 = 288,226.01 : x
  2. Step 2: Convert to fraction form
    424,428.50/585,414.74 = 288,226.01/x
  3. Step 3: Cross multiply
    424,428.50x = 585,414.74 × 288,226.01
  4. Step 4: Simplify right side
    424,428.50x = 168,731,750,337.18
  5. Step 5: Solve for x
    x = 168,731,750,337.18/424,428.50
  6. Step 6: Final answer
    x = 397,550.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.