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Finding the Fourth Proportional to 229,535.20, 344,302.80 and 139,722.40

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Solution

The fourth proportional to 229,535.20, 344,302.80 and 139,722.40 is: 209,583.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,535.20 : 344,302.80 = 139,722.40 : x
  2. Step 2: Convert to fraction form
    229,535.20/344,302.80 = 139,722.40/x
  3. Step 3: Cross multiply
    229,535.20x = 344,302.80 × 139,722.40
  4. Step 4: Simplify right side
    229,535.20x = 48,106,813,542.72
  5. Step 5: Solve for x
    x = 48,106,813,542.72/229,535.20
  6. Step 6: Final answer
    x = 209,583.60

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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.