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Finding the Fourth Proportional to 326,228, 489,412.40 and 101,583.84

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Solution

The fourth proportional to 326,228, 489,412.40 and 101,583.84 is: 152,397.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,228 : 489,412.40 = 101,583.84 : x
  2. Step 2: Convert to fraction form
    326,228/489,412.40 = 101,583.84/x
  3. Step 3: Cross multiply
    326,228x = 489,412.40 × 101,583.84
  4. Step 4: Simplify right side
    326,228x = 49,716,390,935.62
  5. Step 5: Solve for x
    x = 49,716,390,935.62/326,228
  6. Step 6: Final answer
    x = 152,397.68

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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.