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Finding the Fourth Proportional to 409,904.20, 614,856.30 and 383,465.80

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Solution

The fourth proportional to 409,904.20, 614,856.30 and 383,465.80 is: 575,198.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,904.20 : 614,856.30 = 383,465.80 : x
  2. Step 2: Convert to fraction form
    409,904.20/614,856.30 = 383,465.80/x
  3. Step 3: Cross multiply
    409,904.20x = 614,856.30 × 383,465.80
  4. Step 4: Simplify right side
    409,904.20x = 235,776,362,964.54
  5. Step 5: Solve for x
    x = 235,776,362,964.54/409,904.20
  6. Step 6: Final answer
    x = 575,198.70

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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.