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Finding the Fourth Proportional to 477,734.40, 716,601.60 and 145,267.20

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Solution

The fourth proportional to 477,734.40, 716,601.60 and 145,267.20 is: 217,900.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,734.40 : 716,601.60 = 145,267.20 : x
  2. Step 2: Convert to fraction form
    477,734.40/716,601.60 = 145,267.20/x
  3. Step 3: Cross multiply
    477,734.40x = 716,601.60 × 145,267.20
  4. Step 4: Simplify right side
    477,734.40x = 104,098,707,947.52
  5. Step 5: Solve for x
    x = 104,098,707,947.52/477,734.40
  6. Step 6: Final answer
    x = 217,900.80

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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.