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Finding the Fourth Proportional to 320,181.86, 480,272.79 and 120,547.04

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Solution

The fourth proportional to 320,181.86, 480,272.79 and 120,547.04 is: 180,820.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,181.86 : 480,272.79 = 120,547.04 : x
  2. Step 2: Convert to fraction form
    320,181.86/480,272.79 = 120,547.04/x
  3. Step 3: Cross multiply
    320,181.86x = 480,272.79 × 120,547.04
  4. Step 4: Simplify right side
    320,181.86x = 57,895,461,277.73
  5. Step 5: Solve for x
    x = 57,895,461,277.73/320,181.86
  6. Step 6: Final answer
    x = 180,820.55

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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.