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Finding the Fourth Proportional to 320,407.52, 480,644.15 and 120,895.79

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Solution

The fourth proportional to 320,407.52, 480,644.15 and 120,895.79 is: 181,356.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,407.52 : 480,644.15 = 120,895.79 : x
  2. Step 2: Convert to fraction form
    320,407.52/480,644.15 = 120,895.79/x
  3. Step 3: Cross multiply
    320,407.52x = 480,644.15 × 120,895.79
  4. Step 4: Simplify right side
    320,407.52x = 58,107,851,215.43
  5. Step 5: Solve for x
    x = 58,107,851,215.43/320,407.52
  6. Step 6: Final answer
    x = 181,356.08

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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.