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Finding the Fourth Proportional to 665,424.36, 998,846.91 and 286,532.69

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Solution

The fourth proportional to 665,424.36, 998,846.91 and 286,532.69 is: 430,104.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,424.36 : 998,846.91 = 286,532.69 : x
  2. Step 2: Convert to fraction form
    665,424.36/998,846.91 = 286,532.69/x
  3. Step 3: Cross multiply
    665,424.36x = 998,846.91 × 286,532.69
  4. Step 4: Simplify right side
    665,424.36x = 286,202,287,026.25
  5. Step 5: Solve for x
    x = 286,202,287,026.25/665,424.36
  6. Step 6: Final answer
    x = 430,104.91

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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.