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Finding the Fourth Proportional to 502,019.28, 751,146.72 and 298,872.32

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Solution

The fourth proportional to 502,019.28, 751,146.72 and 298,872.32 is: 447,187.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,019.28 : 751,146.72 = 298,872.32 : x
  2. Step 2: Convert to fraction form
    502,019.28/751,146.72 = 298,872.32/x
  3. Step 3: Cross multiply
    502,019.28x = 751,146.72 × 298,872.32
  4. Step 4: Simplify right side
    502,019.28x = 224,496,962,866.79
  5. Step 5: Solve for x
    x = 224,496,962,866.79/502,019.28
  6. Step 6: Final answer
    x = 447,187.93

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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.