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Finding the Fourth Proportional to 409,430.20, 614,145.30 and 374,000.80

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Solution

The fourth proportional to 409,430.20, 614,145.30 and 374,000.80 is: 561,001.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,430.20 : 614,145.30 = 374,000.80 : x
  2. Step 2: Convert to fraction form
    409,430.20/614,145.30 = 374,000.80/x
  3. Step 3: Cross multiply
    409,430.20x = 614,145.30 × 374,000.80
  4. Step 4: Simplify right side
    409,430.20x = 229,690,833,516.24
  5. Step 5: Solve for x
    x = 229,690,833,516.24/409,430.20
  6. Step 6: Final answer
    x = 561,001.20

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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.