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Finding the Fourth Proportional to 278,981.94, 418,465.17 and 101,492.22

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Solution

The fourth proportional to 278,981.94, 418,465.17 and 101,492.22 is: 152,235.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,981.94 : 418,465.17 = 101,492.22 : x
  2. Step 2: Convert to fraction form
    278,981.94/418,465.17 = 101,492.22/x
  3. Step 3: Cross multiply
    278,981.94x = 418,465.17 × 101,492.22
  4. Step 4: Simplify right side
    278,981.94x = 42,470,959,095.98
  5. Step 5: Solve for x
    x = 42,470,959,095.98/278,981.94
  6. Step 6: Final answer
    x = 152,235.51

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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.