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Finding the Fourth Proportional to 326,301.78, 489,547.44 and 115,956.12

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Solution

The fourth proportional to 326,301.78, 489,547.44 and 115,956.12 is: 173,967.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,301.78 : 489,547.44 = 115,956.12 : x
  2. Step 2: Convert to fraction form
    326,301.78/489,547.44 = 115,956.12/x
  3. Step 3: Cross multiply
    326,301.78x = 489,547.44 × 115,956.12
  4. Step 4: Simplify right side
    326,301.78x = 56,766,021,698.33
  5. Step 5: Solve for x
    x = 56,766,021,698.33/326,301.78
  6. Step 6: Final answer
    x = 173,967.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.