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Finding the Fourth Proportional to 320,650.68, 442,390.49 and 184,681.91

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Solution

The fourth proportional to 320,650.68, 442,390.49 and 184,681.91 is: 254,799.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,650.68 : 442,390.49 = 184,681.91 : x
  2. Step 2: Convert to fraction form
    320,650.68/442,390.49 = 184,681.91/x
  3. Step 3: Cross multiply
    320,650.68x = 442,390.49 × 184,681.91
  4. Step 4: Simplify right side
    320,650.68x = 81,701,517,523.67
  5. Step 5: Solve for x
    x = 81,701,517,523.67/320,650.68
  6. Step 6: Final answer
    x = 254,799.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.