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Finding the Fourth Proportional to 213,496.32, 320,260.80 and 73,253.76

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Solution

The fourth proportional to 213,496.32, 320,260.80 and 73,253.76 is: 109,886.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,496.32 : 320,260.80 = 73,253.76 : x
  2. Step 2: Convert to fraction form
    213,496.32/320,260.80 = 73,253.76/x
  3. Step 3: Cross multiply
    213,496.32x = 320,260.80 × 73,253.76
  4. Step 4: Simplify right side
    213,496.32x = 23,460,307,780.61
  5. Step 5: Solve for x
    x = 23,460,307,780.61/213,496.32
  6. Step 6: Final answer
    x = 109,886.24

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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.