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Finding the Fourth Proportional to 398,407.08, 549,780.57 and 228,630

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Solution

The fourth proportional to 398,407.08, 549,780.57 and 228,630 is: 315,497.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,407.08 : 549,780.57 = 228,630 : x
  2. Step 2: Convert to fraction form
    398,407.08/549,780.57 = 228,630/x
  3. Step 3: Cross multiply
    398,407.08x = 549,780.57 × 228,630
  4. Step 4: Simplify right side
    398,407.08x = 125,696,331,719.10
  5. Step 5: Solve for x
    x = 125,696,331,719.10/398,407.08
  6. Step 6: Final answer
    x = 315,497.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.