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Finding the Fourth Proportional to 152,428.70, 228,643.05 and 47,279.90

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Solution

The fourth proportional to 152,428.70, 228,643.05 and 47,279.90 is: 70,919.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,428.70 : 228,643.05 = 47,279.90 : x
  2. Step 2: Convert to fraction form
    152,428.70/228,643.05 = 47,279.90/x
  3. Step 3: Cross multiply
    152,428.70x = 228,643.05 × 47,279.90
  4. Step 4: Simplify right side
    152,428.70x = 10,810,220,539.70
  5. Step 5: Solve for x
    x = 10,810,220,539.70/152,428.70
  6. Step 6: Final answer
    x = 70,919.85

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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.