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Finding the Fourth Proportional to 661,069.92, 991,427.76 and 287,004

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Solution

The fourth proportional to 661,069.92, 991,427.76 and 287,004 is: 430,429.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,069.92 : 991,427.76 = 287,004 : x
  2. Step 2: Convert to fraction form
    661,069.92/991,427.76 = 287,004/x
  3. Step 3: Cross multiply
    661,069.92x = 991,427.76 × 287,004
  4. Step 4: Simplify right side
    661,069.92x = 284,543,732,831.04
  5. Step 5: Solve for x
    x = 284,543,732,831.04/661,069.92
  6. Step 6: Final answer
    x = 430,429.10

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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.