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Finding the Fourth Proportional to 272,223.60, 408,043.80 and 122,438.40

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Solution

The fourth proportional to 272,223.60, 408,043.80 and 122,438.40 is: 183,526.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,223.60 : 408,043.80 = 122,438.40 : x
  2. Step 2: Convert to fraction form
    272,223.60/408,043.80 = 122,438.40/x
  3. Step 3: Cross multiply
    272,223.60x = 408,043.80 × 122,438.40
  4. Step 4: Simplify right side
    272,223.60x = 49,960,230,001.92
  5. Step 5: Solve for x
    x = 49,960,230,001.92/272,223.60
  6. Step 6: Final answer
    x = 183,526.45

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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.