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Finding the Fourth Proportional to 320,055.65, 480,154.98 and 120,377.77

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Solution

The fourth proportional to 320,055.65, 480,154.98 and 120,377.77 is: 180,593.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,055.65 : 480,154.98 = 120,377.77 : x
  2. Step 2: Convert to fraction form
    320,055.65/480,154.98 = 120,377.77/x
  3. Step 3: Cross multiply
    320,055.65x = 480,154.98 × 120,377.77
  4. Step 4: Simplify right side
    320,055.65x = 57,799,985,746.79
  5. Step 5: Solve for x
    x = 57,799,985,746.79/320,055.65
  6. Step 6: Final answer
    x = 180,593.55

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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.