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Finding the Fourth Proportional to 661,001.92, 991,325.76 and 286,936

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Solution

The fourth proportional to 661,001.92, 991,325.76 and 286,936 is: 430,327.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,001.92 : 991,325.76 = 286,936 : x
  2. Step 2: Convert to fraction form
    661,001.92/991,325.76 = 286,936/x
  3. Step 3: Cross multiply
    661,001.92x = 991,325.76 × 286,936
  4. Step 4: Simplify right side
    661,001.92x = 284,447,048,271.36
  5. Step 5: Solve for x
    x = 284,447,048,271.36/661,001.92
  6. Step 6: Final answer
    x = 430,327.11

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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.