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Finding the Fourth Proportional to 228,314.28, 342,386.28 and 78,512.16

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Solution

The fourth proportional to 228,314.28, 342,386.28 and 78,512.16 is: 117,738.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,314.28 : 342,386.28 = 78,512.16 : x
  2. Step 2: Convert to fraction form
    228,314.28/342,386.28 = 78,512.16/x
  3. Step 3: Cross multiply
    228,314.28x = 342,386.28 × 78,512.16
  4. Step 4: Simplify right side
    228,314.28x = 26,881,486,397.16
  5. Step 5: Solve for x
    x = 26,881,486,397.16/228,314.28
  6. Step 6: Final answer
    x = 117,738.96

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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.