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Finding the Fourth Proportional to 285,387.60, 428,085.56 and 135,643.16

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Solution

The fourth proportional to 285,387.60, 428,085.56 and 135,643.16 is: 203,466.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,387.60 : 428,085.56 = 135,643.16 : x
  2. Step 2: Convert to fraction form
    285,387.60/428,085.56 = 135,643.16/x
  3. Step 3: Cross multiply
    285,387.60x = 428,085.56 × 135,643.16
  4. Step 4: Simplify right side
    285,387.60x = 58,066,878,108.77
  5. Step 5: Solve for x
    x = 58,066,878,108.77/285,387.60
  6. Step 6: Final answer
    x = 203,466.72

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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.