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Finding the Fourth Proportional to 288,398.08, 397,985.20 and 161,075.52

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Solution

The fourth proportional to 288,398.08, 397,985.20 and 161,075.52 is: 222,281.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,398.08 : 397,985.20 = 161,075.52 : x
  2. Step 2: Convert to fraction form
    288,398.08/397,985.20 = 161,075.52/x
  3. Step 3: Cross multiply
    288,398.08x = 397,985.20 × 161,075.52
  4. Step 4: Simplify right side
    288,398.08x = 64,105,673,042.30
  5. Step 5: Solve for x
    x = 64,105,673,042.30/288,398.08
  6. Step 6: Final answer
    x = 222,281.90

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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.