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Finding the Fourth Proportional to 228,229, 342,259.54 and 78,426.76

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Solution

The fourth proportional to 228,229, 342,259.54 and 78,426.76 is: 117,611.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,229 : 342,259.54 = 78,426.76 : x
  2. Step 2: Convert to fraction form
    228,229/342,259.54 = 78,426.76/x
  3. Step 3: Cross multiply
    228,229x = 342,259.54 × 78,426.76
  4. Step 4: Simplify right side
    228,229x = 26,842,306,801.29
  5. Step 5: Solve for x
    x = 26,842,306,801.29/228,229
  6. Step 6: Final answer
    x = 117,611.29

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1.5x scale

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.