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Finding the Fourth Proportional to 228,305.19, 342,454.20 and 78,546.78

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Solution

The fourth proportional to 228,305.19, 342,454.20 and 78,546.78 is: 117,818.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,305.19 : 342,454.20 = 78,546.78 : x
  2. Step 2: Convert to fraction form
    228,305.19/342,454.20 = 78,546.78/x
  3. Step 3: Cross multiply
    228,305.19x = 342,454.20 × 78,546.78
  4. Step 4: Simplify right side
    228,305.19x = 26,898,674,412.93
  5. Step 5: Solve for x
    x = 26,898,674,412.93/228,305.19
  6. Step 6: Final answer
    x = 117,818.93

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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.