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Finding the Fourth Proportional to 486,012.16, 729,013.76 and 153,588.16

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Solution

The fourth proportional to 486,012.16, 729,013.76 and 153,588.16 is: 230,380.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,012.16 : 729,013.76 = 153,588.16 : x
  2. Step 2: Convert to fraction form
    486,012.16/729,013.76 = 153,588.16/x
  3. Step 3: Cross multiply
    486,012.16x = 729,013.76 × 153,588.16
  4. Step 4: Simplify right side
    486,012.16x = 111,967,882,013.08
  5. Step 5: Solve for x
    x = 111,967,882,013.08/486,012.16
  6. Step 6: Final answer
    x = 230,380.82

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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.