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Finding the Fourth Proportional to 389,906, 537,764.52 and 253,982.76

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Solution

The fourth proportional to 389,906, 537,764.52 and 253,982.76 is: 350,297.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,906 : 537,764.52 = 253,982.76 : x
  2. Step 2: Convert to fraction form
    389,906/537,764.52 = 253,982.76/x
  3. Step 3: Cross multiply
    389,906x = 537,764.52 × 253,982.76
  4. Step 4: Simplify right side
    389,906x = 136,582,917,019.68
  5. Step 5: Solve for x
    x = 136,582,917,019.68/389,906
  6. Step 6: Final answer
    x = 350,297.04

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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.