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Finding the Fourth Proportional to 228,410.24, 342,638.16 and 78,630.70

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Solution

The fourth proportional to 228,410.24, 342,638.16 and 78,630.70 is: 117,953.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,410.24 : 342,638.16 = 78,630.70 : x
  2. Step 2: Convert to fraction form
    228,410.24/342,638.16 = 78,630.70/x
  3. Step 3: Cross multiply
    228,410.24x = 342,638.16 × 78,630.70
  4. Step 4: Simplify right side
    228,410.24x = 26,941,878,367.51
  5. Step 5: Solve for x
    x = 26,941,878,367.51/228,410.24
  6. Step 6: Final answer
    x = 117,953.90

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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.