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Finding the Fourth Proportional to 313,143.60, 469,539.36 and 102,763.92

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Solution

The fourth proportional to 313,143.60, 469,539.36 and 102,763.92 is: 154,088.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,143.60 : 469,539.36 = 102,763.92 : x
  2. Step 2: Convert to fraction form
    313,143.60/469,539.36 = 102,763.92/x
  3. Step 3: Cross multiply
    313,143.60x = 469,539.36 × 102,763.92
  4. Step 4: Simplify right side
    313,143.60x = 48,251,705,227.89
  5. Step 5: Solve for x
    x = 48,251,705,227.89/313,143.60
  6. Step 6: Final answer
    x = 154,088.11

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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.