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Finding the Fourth Proportional to 409,399.20, 614,098.80 and 290,426.40

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Solution

The fourth proportional to 409,399.20, 614,098.80 and 290,426.40 is: 435,639.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,399.20 : 614,098.80 = 290,426.40 : x
  2. Step 2: Convert to fraction form
    409,399.20/614,098.80 = 290,426.40/x
  3. Step 3: Cross multiply
    409,399.20x = 614,098.80 × 290,426.40
  4. Step 4: Simplify right side
    409,399.20x = 178,350,503,728.32
  5. Step 5: Solve for x
    x = 178,350,503,728.32/409,399.20
  6. Step 6: Final answer
    x = 435,639.60

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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.