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Finding the Fourth Proportional to 286,207.80, 428,966.10 and 145,894.20

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Solution

The fourth proportional to 286,207.80, 428,966.10 and 145,894.20 is: 218,665.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,207.80 : 428,966.10 = 145,894.20 : x
  2. Step 2: Convert to fraction form
    286,207.80/428,966.10 = 145,894.20/x
  3. Step 3: Cross multiply
    286,207.80x = 428,966.10 × 145,894.20
  4. Step 4: Simplify right side
    286,207.80x = 62,583,665,986.62
  5. Step 5: Solve for x
    x = 62,583,665,986.62/286,207.80
  6. Step 6: Final answer
    x = 218,665.13

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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.