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Finding the Fourth Proportional to 480,077.42, 720,568.10 and 243,589.82

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Solution

The fourth proportional to 480,077.42, 720,568.10 and 243,589.82 is: 365,614.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,077.42 : 720,568.10 = 243,589.82 : x
  2. Step 2: Convert to fraction form
    480,077.42/720,568.10 = 243,589.82/x
  3. Step 3: Cross multiply
    480,077.42x = 720,568.10 × 243,589.82
  4. Step 4: Simplify right side
    480,077.42x = 175,523,050,782.88
  5. Step 5: Solve for x
    x = 175,523,050,782.88/480,077.42
  6. Step 6: Final answer
    x = 365,614.06

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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.