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Finding the Fourth Proportional to 385,638, 532,151.28 and 213,555.12

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Solution

The fourth proportional to 385,638, 532,151.28 and 213,555.12 is: 294,689.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,638 : 532,151.28 = 213,555.12 : x
  2. Step 2: Convert to fraction form
    385,638/532,151.28 = 213,555.12/x
  3. Step 3: Cross multiply
    385,638x = 532,151.28 × 213,555.12
  4. Step 4: Simplify right side
    385,638x = 113,643,630,458.55
  5. Step 5: Solve for x
    x = 113,643,630,458.55/385,638
  6. Step 6: Final answer
    x = 294,689.92

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1.5x scale

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.