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Finding the Fourth Proportional to 314,457.78, 471,719.38 and 86,753.40

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Solution

The fourth proportional to 314,457.78, 471,719.38 and 86,753.40 is: 130,139.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,457.78 : 471,719.38 = 86,753.40 : x
  2. Step 2: Convert to fraction form
    314,457.78/471,719.38 = 86,753.40/x
  3. Step 3: Cross multiply
    314,457.78x = 471,719.38 × 86,753.40
  4. Step 4: Simplify right side
    314,457.78x = 40,923,260,277.78
  5. Step 5: Solve for x
    x = 40,923,260,277.78/314,457.78
  6. Step 6: Final answer
    x = 130,139.13

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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.