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Finding the Fourth Proportional to 285,359.97, 428,068.26 and 105,492.52

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Solution

The fourth proportional to 285,359.97, 428,068.26 and 105,492.52 is: 158,249.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,359.97 : 428,068.26 = 105,492.52 : x
  2. Step 2: Convert to fraction form
    285,359.97/428,068.26 = 105,492.52/x
  3. Step 3: Cross multiply
    285,359.97x = 428,068.26 × 105,492.52
  4. Step 4: Simplify right side
    285,359.97x = 45,157,999,479.42
  5. Step 5: Solve for x
    x = 45,157,999,479.42/285,359.97
  6. Step 6: Final answer
    x = 158,249.24

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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.