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Finding the Fourth Proportional to 320,417.83, 480,654.08 and 83,760.13

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Solution

The fourth proportional to 320,417.83, 480,654.08 and 83,760.13 is: 125,647.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,417.83 : 480,654.08 = 83,760.13 : x
  2. Step 2: Convert to fraction form
    320,417.83/480,654.08 = 83,760.13/x
  3. Step 3: Cross multiply
    320,417.83x = 480,654.08 × 83,760.13
  4. Step 4: Simplify right side
    320,417.83x = 40,259,645,403.76
  5. Step 5: Solve for x
    x = 40,259,645,403.76/320,417.83
  6. Step 6: Final answer
    x = 125,647.33

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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.