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Finding the Fourth Proportional to 306,937.60, 460,315.68 and 138,360.64

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Solution

The fourth proportional to 306,937.60, 460,315.68 and 138,360.64 is: 207,500.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,937.60 : 460,315.68 = 138,360.64 : x
  2. Step 2: Convert to fraction form
    306,937.60/460,315.68 = 138,360.64/x
  3. Step 3: Cross multiply
    306,937.60x = 460,315.68 × 138,360.64
  4. Step 4: Simplify right side
    306,937.60x = 63,689,572,086.84
  5. Step 5: Solve for x
    x = 63,689,572,086.84/306,937.60
  6. Step 6: Final answer
    x = 207,500.07

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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.