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Finding the Fourth Proportional to 274,641.60, 411,962.40 and 243,537.60

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Solution

The fourth proportional to 274,641.60, 411,962.40 and 243,537.60 is: 365,306.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,641.60 : 411,962.40 = 243,537.60 : x
  2. Step 2: Convert to fraction form
    274,641.60/411,962.40 = 243,537.60/x
  3. Step 3: Cross multiply
    274,641.60x = 411,962.40 × 243,537.60
  4. Step 4: Simplify right side
    274,641.60x = 100,328,334,186.24
  5. Step 5: Solve for x
    x = 100,328,334,186.24/274,641.60
  6. Step 6: Final answer
    x = 365,306.40

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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.