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Finding the Fourth Proportional to 288,947.20, 433,420.80 and 101,958.70

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Solution

The fourth proportional to 288,947.20, 433,420.80 and 101,958.70 is: 152,938.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,947.20 : 433,420.80 = 101,958.70 : x
  2. Step 2: Convert to fraction form
    288,947.20/433,420.80 = 101,958.70/x
  3. Step 3: Cross multiply
    288,947.20x = 433,420.80 × 101,958.70
  4. Step 4: Simplify right side
    288,947.20x = 44,191,021,320.96
  5. Step 5: Solve for x
    x = 44,191,021,320.96/288,947.20
  6. Step 6: Final answer
    x = 152,938.05

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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.