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Finding the Fourth Proportional to 228,389.32, 342,498.78 and 78,587.24

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Solution

The fourth proportional to 228,389.32, 342,498.78 and 78,587.24 is: 117,851.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,389.32 : 342,498.78 = 78,587.24 : x
  2. Step 2: Convert to fraction form
    228,389.32/342,498.78 = 78,587.24/x
  3. Step 3: Cross multiply
    228,389.32x = 342,498.78 × 78,587.24
  4. Step 4: Simplify right side
    228,389.32x = 26,916,033,823.57
  5. Step 5: Solve for x
    x = 26,916,033,823.57/228,389.32
  6. Step 6: Final answer
    x = 117,851.54

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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.