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Finding the Fourth Proportional to 910,123, 1,364,121.50 and 684,759.40

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Solution

The fourth proportional to 910,123, 1,364,121.50 and 684,759.40 is: 1,026,339.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,123 : 1,364,121.50 = 684,759.40 : x
  2. Step 2: Convert to fraction form
    910,123/1,364,121.50 = 684,759.40/x
  3. Step 3: Cross multiply
    910,123x = 1,364,121.50 × 684,759.40
  4. Step 4: Simplify right side
    910,123x = 934,095,019,867.10
  5. Step 5: Solve for x
    x = 934,095,019,867.10/910,123
  6. Step 6: Final answer
    x = 1,026,339.32

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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.