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Finding the Fourth Proportional to 385,774.88, 532,391.28 and 216,007.52

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Solution

The fourth proportional to 385,774.88, 532,391.28 and 216,007.52 is: 298,102.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,774.88 : 532,391.28 = 216,007.52 : x
  2. Step 2: Convert to fraction form
    385,774.88/532,391.28 = 216,007.52/x
  3. Step 3: Cross multiply
    385,774.88x = 532,391.28 × 216,007.52
  4. Step 4: Simplify right side
    385,774.88x = 115,000,520,062.43
  5. Step 5: Solve for x
    x = 115,000,520,062.43/385,774.88
  6. Step 6: Final answer
    x = 298,102.67

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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.