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Finding the Fourth Proportional to 285,387.59, 428,085.59 and 135,643.16

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Solution

The fourth proportional to 285,387.59, 428,085.59 and 135,643.16 is: 203,466.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,387.59 : 428,085.59 = 135,643.16 : x
  2. Step 2: Convert to fraction form
    285,387.59/428,085.59 = 135,643.16/x
  3. Step 3: Cross multiply
    285,387.59x = 428,085.59 × 135,643.16
  4. Step 4: Simplify right side
    285,387.59x = 58,066,879,359.42
  5. Step 5: Solve for x
    x = 58,066,879,359.42/285,387.59
  6. Step 6: Final answer
    x = 203,466.73

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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.