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Finding the Fourth Proportional to 213,026.29, 319,234.95 and 156,422.28

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Solution

The fourth proportional to 213,026.29, 319,234.95 and 156,422.28 is: 234,409.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,026.29 : 319,234.95 = 156,422.28 : x
  2. Step 2: Convert to fraction form
    213,026.29/319,234.95 = 156,422.28/x
  3. Step 3: Cross multiply
    213,026.29x = 319,234.95 × 156,422.28
  4. Step 4: Simplify right side
    213,026.29x = 49,935,458,734.69
  5. Step 5: Solve for x
    x = 49,935,458,734.69/213,026.29
  6. Step 6: Final answer
    x = 234,409.84

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1.5x scale

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.