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Finding the Fourth Proportional to 282,376.34, 389,714.46 and 161,500.85

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Solution

The fourth proportional to 282,376.34, 389,714.46 and 161,500.85 is: 222,891.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,376.34 : 389,714.46 = 161,500.85 : x
  2. Step 2: Convert to fraction form
    282,376.34/389,714.46 = 161,500.85/x
  3. Step 3: Cross multiply
    282,376.34x = 389,714.46 × 161,500.85
  4. Step 4: Simplify right side
    282,376.34x = 62,939,216,547.29
  5. Step 5: Solve for x
    x = 62,939,216,547.29/282,376.34
  6. Step 6: Final answer
    x = 222,891.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.