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Finding the Fourth Proportional to 285,356.47, 428,053.16 and 95,809.18

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Solution

The fourth proportional to 285,356.47, 428,053.16 and 95,809.18 is: 143,719.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,356.47 : 428,053.16 = 95,809.18 : x
  2. Step 2: Convert to fraction form
    285,356.47/428,053.16 = 95,809.18/x
  3. Step 3: Cross multiply
    285,356.47x = 428,053.16 × 95,809.18
  4. Step 4: Simplify right side
    285,356.47x = 41,011,420,706.83
  5. Step 5: Solve for x
    x = 41,011,420,706.83/285,356.47
  6. Step 6: Final answer
    x = 143,719.96

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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.