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Finding the Fourth Proportional to 369,863.28, 510,459.84 and 274,641.84

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Solution

The fourth proportional to 369,863.28, 510,459.84 and 274,641.84 is: 379,041.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,863.28 : 510,459.84 = 274,641.84 : x
  2. Step 2: Convert to fraction form
    369,863.28/510,459.84 = 274,641.84/x
  3. Step 3: Cross multiply
    369,863.28x = 510,459.84 × 274,641.84
  4. Step 4: Simplify right side
    369,863.28x = 140,193,629,703.71
  5. Step 5: Solve for x
    x = 140,193,629,703.71/369,863.28
  6. Step 6: Final answer
    x = 379,041.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.