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Finding the Fourth Proportional to 343,269.80, 514,904.70 and 106,636.40

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Solution

The fourth proportional to 343,269.80, 514,904.70 and 106,636.40 is: 159,954.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,269.80 : 514,904.70 = 106,636.40 : x
  2. Step 2: Convert to fraction form
    343,269.80/514,904.70 = 106,636.40/x
  3. Step 3: Cross multiply
    343,269.80x = 514,904.70 × 106,636.40
  4. Step 4: Simplify right side
    343,269.80x = 54,907,583,551.08
  5. Step 5: Solve for x
    x = 54,907,583,551.08/343,269.80
  6. Step 6: Final answer
    x = 159,954.60

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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.