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Finding the Fourth Proportional to 306,758.60, 460,047.10 and 138,181.48

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Solution

The fourth proportional to 306,758.60, 460,047.10 and 138,181.48 is: 207,231.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,758.60 : 460,047.10 = 138,181.48 : x
  2. Step 2: Convert to fraction form
    306,758.60/460,047.10 = 138,181.48/x
  3. Step 3: Cross multiply
    306,758.60x = 460,047.10 × 138,181.48
  4. Step 4: Simplify right side
    306,758.60x = 63,569,989,147.71
  5. Step 5: Solve for x
    x = 63,569,989,147.71/306,758.60
  6. Step 6: Final answer
    x = 207,231.32

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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.