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Finding the Fourth Proportional to 391,084, 539,702.40 and 212,236

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Solution

The fourth proportional to 391,084, 539,702.40 and 212,236 is: 292,889.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,084 : 539,702.40 = 212,236 : x
  2. Step 2: Convert to fraction form
    391,084/539,702.40 = 212,236/x
  3. Step 3: Cross multiply
    391,084x = 539,702.40 × 212,236
  4. Step 4: Simplify right side
    391,084x = 114,544,278,566.40
  5. Step 5: Solve for x
    x = 114,544,278,566.40/391,084
  6. Step 6: Final answer
    x = 292,889.20

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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.