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Finding the Fourth Proportional to 480,947.40, 663,850.26 and 311,177.16

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Solution

The fourth proportional to 480,947.40, 663,850.26 and 311,177.16 is: 429,516.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,947.40 : 663,850.26 = 311,177.16 : x
  2. Step 2: Convert to fraction form
    480,947.40/663,850.26 = 311,177.16/x
  3. Step 3: Cross multiply
    480,947.40x = 663,850.26 × 311,177.16
  4. Step 4: Simplify right side
    480,947.40x = 206,575,038,572.06
  5. Step 5: Solve for x
    x = 206,575,038,572.06/480,947.40
  6. Step 6: Final answer
    x = 429,516.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.