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Finding the Fourth Proportional to 152,620.40, 228,952.20 and 47,428.40

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Solution

The fourth proportional to 152,620.40, 228,952.20 and 47,428.40 is: 71,149.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,620.40 : 228,952.20 = 47,428.40 : x
  2. Step 2: Convert to fraction form
    152,620.40/228,952.20 = 47,428.40/x
  3. Step 3: Cross multiply
    152,620.40x = 228,952.20 × 47,428.40
  4. Step 4: Simplify right side
    152,620.40x = 10,858,836,522.48
  5. Step 5: Solve for x
    x = 10,858,836,522.48/152,620.40
  6. Step 6: Final answer
    x = 71,149.31

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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.