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Finding the Fourth Proportional to 326,411.19, 489,459.30 and 136,820.65

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Solution

The fourth proportional to 326,411.19, 489,459.30 and 136,820.65 is: 205,164.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,411.19 : 489,459.30 = 136,820.65 : x
  2. Step 2: Convert to fraction form
    326,411.19/489,459.30 = 136,820.65/x
  3. Step 3: Cross multiply
    326,411.19x = 489,459.30 × 136,820.65
  4. Step 4: Simplify right side
    326,411.19x = 66,968,139,256.11
  5. Step 5: Solve for x
    x = 66,968,139,256.11/326,411.19
  6. Step 6: Final answer
    x = 205,164.96

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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.