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Finding the Fourth Proportional to 615,201.40, 922,947.90 and 315,728.20

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Solution

The fourth proportional to 615,201.40, 922,947.90 and 315,728.20 is: 473,667.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,201.40 : 922,947.90 = 315,728.20 : x
  2. Step 2: Convert to fraction form
    615,201.40/922,947.90 = 315,728.20/x
  3. Step 3: Cross multiply
    615,201.40x = 922,947.90 × 315,728.20
  4. Step 4: Simplify right side
    615,201.40x = 291,400,679,160.78
  5. Step 5: Solve for x
    x = 291,400,679,160.78/615,201.40
  6. Step 6: Final answer
    x = 473,667.13

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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.