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Finding the Fourth Proportional to 658,093.86, 986,510.22 and 278,492.46

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Solution

The fourth proportional to 658,093.86, 986,510.22 and 278,492.46 is: 417,471.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,093.86 : 986,510.22 = 278,492.46 : x
  2. Step 2: Convert to fraction form
    658,093.86/986,510.22 = 278,492.46/x
  3. Step 3: Cross multiply
    658,093.86x = 986,510.22 × 278,492.46
  4. Step 4: Simplify right side
    658,093.86x = 274,735,657,982.94
  5. Step 5: Solve for x
    x = 274,735,657,982.94/658,093.86
  6. Step 6: Final answer
    x = 417,471.85

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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.