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Finding the Fourth Proportional to 261,437.40, 391,572.90 and 202,080.60

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Solution

The fourth proportional to 261,437.40, 391,572.90 and 202,080.60 is: 302,670.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,437.40 : 391,572.90 = 202,080.60 : x
  2. Step 2: Convert to fraction form
    261,437.40/391,572.90 = 202,080.60/x
  3. Step 3: Cross multiply
    261,437.40x = 391,572.90 × 202,080.60
  4. Step 4: Simplify right side
    261,437.40x = 79,129,286,575.74
  5. Step 5: Solve for x
    x = 79,129,286,575.74/261,437.40
  6. Step 6: Final answer
    x = 302,670.11

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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.