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Finding the Fourth Proportional to 207,471.20, 310,947.60 and 152,002.40

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Solution

The fourth proportional to 207,471.20, 310,947.60 and 152,002.40 is: 227,813.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,471.20 : 310,947.60 = 152,002.40 : x
  2. Step 2: Convert to fraction form
    207,471.20/310,947.60 = 152,002.40/x
  3. Step 3: Cross multiply
    207,471.20x = 310,947.60 × 152,002.40
  4. Step 4: Simplify right side
    207,471.20x = 47,264,781,474.24
  5. Step 5: Solve for x
    x = 47,264,781,474.24/207,471.20
  6. Step 6: Final answer
    x = 227,813.70

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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.