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Finding the Fourth Proportional to 661,002.92, 991,327.26 and 286,937

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Solution

The fourth proportional to 661,002.92, 991,327.26 and 286,937 is: 430,328.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,002.92 : 991,327.26 = 286,937 : x
  2. Step 2: Convert to fraction form
    661,002.92/991,327.26 = 286,937/x
  3. Step 3: Cross multiply
    661,002.92x = 991,327.26 × 286,937
  4. Step 4: Simplify right side
    661,002.92x = 284,448,470,002.62
  5. Step 5: Solve for x
    x = 284,448,470,002.62/661,002.92
  6. Step 6: Final answer
    x = 430,328.61

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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.