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Finding the Fourth Proportional to 321,547.15, 443,713.44 and 178,301.89

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Solution

The fourth proportional to 321,547.15, 443,713.44 and 178,301.89 is: 246,044.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,547.15 : 443,713.44 = 178,301.89 : x
  2. Step 2: Convert to fraction form
    321,547.15/443,713.44 = 178,301.89/x
  3. Step 3: Cross multiply
    321,547.15x = 443,713.44 × 178,301.89
  4. Step 4: Simplify right side
    321,547.15x = 79,114,944,970.40
  5. Step 5: Solve for x
    x = 79,114,944,970.40/321,547.15
  6. Step 6: Final answer
    x = 246,044.62

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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.