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Finding the Fourth Proportional to 320,648.68, 442,387.72 and 184,679.91

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Solution

The fourth proportional to 320,648.68, 442,387.72 and 184,679.91 is: 254,796.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,648.68 : 442,387.72 = 184,679.91 : x
  2. Step 2: Convert to fraction form
    320,648.68/442,387.72 = 184,679.91/x
  3. Step 3: Cross multiply
    320,648.68x = 442,387.72 × 184,679.91
  4. Step 4: Simplify right side
    320,648.68x = 81,700,124,314.71
  5. Step 5: Solve for x
    x = 81,700,124,314.71/320,648.68
  6. Step 6: Final answer
    x = 254,796.38

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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.