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Finding the Fourth Proportional to 289,340.66, 399,306.57 and 162,015.14

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Solution

The fourth proportional to 289,340.66, 399,306.57 and 162,015.14 is: 223,590.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,340.66 : 399,306.57 = 162,015.14 : x
  2. Step 2: Convert to fraction form
    289,340.66/399,306.57 = 162,015.14/x
  3. Step 3: Cross multiply
    289,340.66x = 399,306.57 × 162,015.14
  4. Step 4: Simplify right side
    289,340.66x = 64,693,709,841.47
  5. Step 5: Solve for x
    x = 64,693,709,841.47/289,340.66
  6. Step 6: Final answer
    x = 223,590.11

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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.