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Finding the Fourth Proportional to 286,839.02, 430,111.65 and 168,545.90

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Solution

The fourth proportional to 286,839.02, 430,111.65 and 168,545.90 is: 252,732.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,839.02 : 430,111.65 = 168,545.90 : x
  2. Step 2: Convert to fraction form
    286,839.02/430,111.65 = 168,545.90/x
  3. Step 3: Cross multiply
    286,839.02x = 430,111.65 × 168,545.90
  4. Step 4: Simplify right side
    286,839.02x = 72,493,555,149.74
  5. Step 5: Solve for x
    x = 72,493,555,149.74/286,839.02
  6. Step 6: Final answer
    x = 252,732.54

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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.