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Finding the Fourth Proportional to 285,713.80, 428,570.70 and 239,403.40

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Solution

The fourth proportional to 285,713.80, 428,570.70 and 239,403.40 is: 359,105.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,713.80 : 428,570.70 = 239,403.40 : x
  2. Step 2: Convert to fraction form
    285,713.80/428,570.70 = 239,403.40/x
  3. Step 3: Cross multiply
    285,713.80x = 428,570.70 × 239,403.40
  4. Step 4: Simplify right side
    285,713.80x = 102,601,282,720.38
  5. Step 5: Solve for x
    x = 102,601,282,720.38/285,713.80
  6. Step 6: Final answer
    x = 359,105.10

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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.