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Finding the Fourth Proportional to 310,209.80, 465,314.70 and 203,921.60

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Solution

The fourth proportional to 310,209.80, 465,314.70 and 203,921.60 is: 305,882.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,209.80 : 465,314.70 = 203,921.60 : x
  2. Step 2: Convert to fraction form
    310,209.80/465,314.70 = 203,921.60/x
  3. Step 3: Cross multiply
    310,209.80x = 465,314.70 × 203,921.60
  4. Step 4: Simplify right side
    310,209.80x = 94,887,718,127.52
  5. Step 5: Solve for x
    x = 94,887,718,127.52/310,209.80
  6. Step 6: Final answer
    x = 305,882.40

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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.