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Finding the Fourth Proportional to 361,763.04, 499,264.56 and 210,856.80

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Solution

The fourth proportional to 361,763.04, 499,264.56 and 210,856.80 is: 291,000.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,763.04 : 499,264.56 = 210,856.80 : x
  2. Step 2: Convert to fraction form
    361,763.04/499,264.56 = 210,856.80/x
  3. Step 3: Cross multiply
    361,763.04x = 499,264.56 × 210,856.80
  4. Step 4: Simplify right side
    361,763.04x = 105,273,327,475.01
  5. Step 5: Solve for x
    x = 105,273,327,475.01/361,763.04
  6. Step 6: Final answer
    x = 291,000.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.