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Finding the Fourth Proportional to 326,659, 489,988.50 and 105,043

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Solution

The fourth proportional to 326,659, 489,988.50 and 105,043 is: 157,564.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,659 : 489,988.50 = 105,043 : x
  2. Step 2: Convert to fraction form
    326,659/489,988.50 = 105,043/x
  3. Step 3: Cross multiply
    326,659x = 489,988.50 × 105,043
  4. Step 4: Simplify right side
    326,659x = 51,469,862,005.50
  5. Step 5: Solve for x
    x = 51,469,862,005.50/326,659
  6. Step 6: Final answer
    x = 157,564.50

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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.