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Finding the Fourth Proportional to 410,158.40, 614,776.80 and 210,401.60

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Solution

The fourth proportional to 410,158.40, 614,776.80 and 210,401.60 is: 315,366.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,158.40 : 614,776.80 = 210,401.60 : x
  2. Step 2: Convert to fraction form
    410,158.40/614,776.80 = 210,401.60/x
  3. Step 3: Cross multiply
    410,158.40x = 614,776.80 × 210,401.60
  4. Step 4: Simplify right side
    410,158.40x = 129,350,022,362.88
  5. Step 5: Solve for x
    x = 129,350,022,362.88/410,158.40
  6. Step 6: Final answer
    x = 315,366.02

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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.