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Finding the Fourth Proportional to 320,787, 442,802.70 and 186,651

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Solution

The fourth proportional to 320,787, 442,802.70 and 186,651 is: 257,646.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,787 : 442,802.70 = 186,651 : x
  2. Step 2: Convert to fraction form
    320,787/442,802.70 = 186,651/x
  3. Step 3: Cross multiply
    320,787x = 442,802.70 × 186,651
  4. Step 4: Simplify right side
    320,787x = 82,649,566,757.70
  5. Step 5: Solve for x
    x = 82,649,566,757.70/320,787
  6. Step 6: Final answer
    x = 257,646.25

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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.