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Finding the Fourth Proportional to 228,494.40, 342,774.41 and 78,694.62

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Solution

The fourth proportional to 228,494.40, 342,774.41 and 78,694.62 is: 118,053.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,494.40 : 342,774.41 = 78,694.62 : x
  2. Step 2: Convert to fraction form
    228,494.40/342,774.41 = 78,694.62/x
  3. Step 3: Cross multiply
    228,494.40x = 342,774.41 × 78,694.62
  4. Step 4: Simplify right side
    228,494.40x = 26,974,501,547.20
  5. Step 5: Solve for x
    x = 26,974,501,547.20/228,494.40
  6. Step 6: Final answer
    x = 118,053.23

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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.