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Finding the Fourth Proportional to 491,685.20, 737,009.40 and 280,869.20

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Solution

The fourth proportional to 491,685.20, 737,009.40 and 280,869.20 is: 421,007.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,685.20 : 737,009.40 = 280,869.20 : x
  2. Step 2: Convert to fraction form
    491,685.20/737,009.40 = 280,869.20/x
  3. Step 3: Cross multiply
    491,685.20x = 737,009.40 × 280,869.20
  4. Step 4: Simplify right side
    491,685.20x = 207,003,240,570.48
  5. Step 5: Solve for x
    x = 207,003,240,570.48/491,685.20
  6. Step 6: Final answer
    x = 421,007.67

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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.