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Finding the Fourth Proportional to 486,013.20, 729,019.80 and 276,061.20

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Solution

The fourth proportional to 486,013.20, 729,019.80 and 276,061.20 is: 414,091.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,013.20 : 729,019.80 = 276,061.20 : x
  2. Step 2: Convert to fraction form
    486,013.20/729,019.80 = 276,061.20/x
  3. Step 3: Cross multiply
    486,013.20x = 729,019.80 × 276,061.20
  4. Step 4: Simplify right side
    486,013.20x = 201,254,080,811.76
  5. Step 5: Solve for x
    x = 201,254,080,811.76/486,013.20
  6. Step 6: Final answer
    x = 414,091.80

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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.