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Finding the Fourth Proportional to 261,305.40, 391,374.90 and 201,948.60

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Solution

The fourth proportional to 261,305.40, 391,374.90 and 201,948.60 is: 302,472.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,305.40 : 391,374.90 = 201,948.60 : x
  2. Step 2: Convert to fraction form
    261,305.40/391,374.90 = 201,948.60/x
  3. Step 3: Cross multiply
    261,305.40x = 391,374.90 × 201,948.60
  4. Step 4: Simplify right side
    261,305.40x = 79,037,613,130.14
  5. Step 5: Solve for x
    x = 79,037,613,130.14/261,305.40
  6. Step 6: Final answer
    x = 302,472.18

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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.