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Finding the Fourth Proportional to 228,336.16, 342,419.28 and 78,534.40

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Solution

The fourth proportional to 228,336.16, 342,419.28 and 78,534.40 is: 117,772.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,336.16 : 342,419.28 = 78,534.40 : x
  2. Step 2: Convert to fraction form
    228,336.16/342,419.28 = 78,534.40/x
  3. Step 3: Cross multiply
    228,336.16x = 342,419.28 × 78,534.40
  4. Step 4: Simplify right side
    228,336.16x = 26,891,692,703.23
  5. Step 5: Solve for x
    x = 26,891,692,703.23/228,336.16
  6. Step 6: Final answer
    x = 117,772.38

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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.