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Finding the Fourth Proportional to 645,231.53, 890,167.51 and 369,442

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Solution

The fourth proportional to 645,231.53, 890,167.51 and 369,442 is: 509,685.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,231.53 : 890,167.51 = 369,442 : x
  2. Step 2: Convert to fraction form
    645,231.53/890,167.51 = 369,442/x
  3. Step 3: Cross multiply
    645,231.53x = 890,167.51 × 369,442
  4. Step 4: Simplify right side
    645,231.53x = 328,865,265,229.42
  5. Step 5: Solve for x
    x = 328,865,265,229.42/645,231.53
  6. Step 6: Final answer
    x = 509,685.67

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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.