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Finding the Fourth Proportional to 427,878.45, 642,174.03 and 225,547.20

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Solution

The fourth proportional to 427,878.45, 642,174.03 and 225,547.20 is: 338,508.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,878.45 : 642,174.03 = 225,547.20 : x
  2. Step 2: Convert to fraction form
    427,878.45/642,174.03 = 225,547.20/x
  3. Step 3: Cross multiply
    427,878.45x = 642,174.03 × 225,547.20
  4. Step 4: Simplify right side
    427,878.45x = 144,840,554,379.22
  5. Step 5: Solve for x
    x = 144,840,554,379.22/427,878.45
  6. Step 6: Final answer
    x = 338,508.65

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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.