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Finding the Fourth Proportional to 320,354.88, 442,095.12 and 186,218.88

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Solution

The fourth proportional to 320,354.88, 442,095.12 and 186,218.88 is: 256,985.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,354.88 : 442,095.12 = 186,218.88 : x
  2. Step 2: Convert to fraction form
    320,354.88/442,095.12 = 186,218.88/x
  3. Step 3: Cross multiply
    320,354.88x = 442,095.12 × 186,218.88
  4. Step 4: Simplify right side
    320,354.88x = 82,326,458,099.87
  5. Step 5: Solve for x
    x = 82,326,458,099.87/320,354.88
  6. Step 6: Final answer
    x = 256,985.18

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1.5x scale

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.