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Finding the Fourth Proportional to 306,678.78, 460,214.97 and 148,821.12

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Solution

The fourth proportional to 306,678.78, 460,214.97 and 148,821.12 is: 223,327.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,678.78 : 460,214.97 = 148,821.12 : x
  2. Step 2: Convert to fraction form
    306,678.78/460,214.97 = 148,821.12/x
  3. Step 3: Cross multiply
    306,678.78x = 460,214.97 × 148,821.12
  4. Step 4: Simplify right side
    306,678.78x = 68,489,707,276.17
  5. Step 5: Solve for x
    x = 68,489,707,276.17/306,678.78
  6. Step 6: Final answer
    x = 223,327.18

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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.