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Finding the Fourth Proportional to 310,849.14, 466,273.80 and 86,266.20

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Solution

The fourth proportional to 310,849.14, 466,273.80 and 86,266.20 is: 129,399.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,849.14 : 466,273.80 = 86,266.20 : x
  2. Step 2: Convert to fraction form
    310,849.14/466,273.80 = 86,266.20/x
  3. Step 3: Cross multiply
    310,849.14x = 466,273.80 × 86,266.20
  4. Step 4: Simplify right side
    310,849.14x = 40,223,668,885.56
  5. Step 5: Solve for x
    x = 40,223,668,885.56/310,849.14
  6. Step 6: Final answer
    x = 129,399.32

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1.5x scale

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.