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Finding the Fourth Proportional to 289,527.10, 399,515.14 and 168,643.10

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Solution

The fourth proportional to 289,527.10, 399,515.14 and 168,643.10 is: 232,708.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,527.10 : 399,515.14 = 168,643.10 : x
  2. Step 2: Convert to fraction form
    289,527.10/399,515.14 = 168,643.10/x
  3. Step 3: Cross multiply
    289,527.10x = 399,515.14 × 168,643.10
  4. Step 4: Simplify right side
    289,527.10x = 67,375,471,706.53
  5. Step 5: Solve for x
    x = 67,375,471,706.53/289,527.10
  6. Step 6: Final answer
    x = 232,708.69

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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.