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Finding the Fourth Proportional to 280,186.44, 386,649.60 and 152,862

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Solution

The fourth proportional to 280,186.44, 386,649.60 and 152,862 is: 210,945.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,186.44 : 386,649.60 = 152,862 : x
  2. Step 2: Convert to fraction form
    280,186.44/386,649.60 = 152,862/x
  3. Step 3: Cross multiply
    280,186.44x = 386,649.60 × 152,862
  4. Step 4: Simplify right side
    280,186.44x = 59,104,031,155.20
  5. Step 5: Solve for x
    x = 59,104,031,155.20/280,186.44
  6. Step 6: Final answer
    x = 210,945.37

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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.