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Finding the Fourth Proportional to 320,409.52, 480,647.14 and 120,897.78

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Solution

The fourth proportional to 320,409.52, 480,647.14 and 120,897.78 is: 181,359.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,409.52 : 480,647.14 = 120,897.78 : x
  2. Step 2: Convert to fraction form
    320,409.52/480,647.14 = 120,897.78/x
  3. Step 3: Cross multiply
    320,409.52x = 480,647.14 × 120,897.78
  4. Step 4: Simplify right side
    320,409.52x = 58,109,172,189.35
  5. Step 5: Solve for x
    x = 58,109,172,189.35/320,409.52
  6. Step 6: Final answer
    x = 181,359.07

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1.5x scale

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.