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Finding the Fourth Proportional to 276,031.48, 380,938.44 and 153,536.80

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Solution

The fourth proportional to 276,031.48, 380,938.44 and 153,536.80 is: 211,889.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,031.48 : 380,938.44 = 153,536.80 : x
  2. Step 2: Convert to fraction form
    276,031.48/380,938.44 = 153,536.80/x
  3. Step 3: Cross multiply
    276,031.48x = 380,938.44 × 153,536.80
  4. Step 4: Simplify right side
    276,031.48x = 58,488,069,074.59
  5. Step 5: Solve for x
    x = 58,488,069,074.59/276,031.48
  6. Step 6: Final answer
    x = 211,889.13

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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.