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Finding the Fourth Proportional to 510,974.32, 705,166.32 and 284,619.76

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Solution

The fourth proportional to 510,974.32, 705,166.32 and 284,619.76 is: 392,787.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,974.32 : 705,166.32 = 284,619.76 : x
  2. Step 2: Convert to fraction form
    510,974.32/705,166.32 = 284,619.76/x
  3. Step 3: Cross multiply
    510,974.32x = 705,166.32 × 284,619.76
  4. Step 4: Simplify right side
    510,974.32x = 200,704,268,758.48
  5. Step 5: Solve for x
    x = 200,704,268,758.48/510,974.32
  6. Step 6: Final answer
    x = 392,787.39

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1.5x scale

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.