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Finding the Fourth Proportional to 906,738, 1,360,098.90 and 338,099.82

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Solution

The fourth proportional to 906,738, 1,360,098.90 and 338,099.82 is: 507,146.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,738 : 1,360,098.90 = 338,099.82 : x
  2. Step 2: Convert to fraction form
    906,738/1,360,098.90 = 338,099.82/x
  3. Step 3: Cross multiply
    906,738x = 1,360,098.90 × 338,099.82
  4. Step 4: Simplify right side
    906,738x = 459,849,193,272.20
  5. Step 5: Solve for x
    x = 459,849,193,272.20/906,738
  6. Step 6: Final answer
    x = 507,146.71

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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.