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Finding the Fourth Proportional to 261,672.60, 392,969.70 and 202,651.80

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Solution

The fourth proportional to 261,672.60, 392,969.70 and 202,651.80 is: 304,334.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,672.60 : 392,969.70 = 202,651.80 : x
  2. Step 2: Convert to fraction form
    261,672.60/392,969.70 = 202,651.80/x
  3. Step 3: Cross multiply
    261,672.60x = 392,969.70 × 202,651.80
  4. Step 4: Simplify right side
    261,672.60x = 79,636,017,050.46
  5. Step 5: Solve for x
    x = 79,636,017,050.46/261,672.60
  6. Step 6: Final answer
    x = 304,334.57

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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.