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Finding the Fourth Proportional to 426,813.24, 640,206 and 127,296.30

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Solution

The fourth proportional to 426,813.24, 640,206 and 127,296.30 is: 190,940.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,813.24 : 640,206 = 127,296.30 : x
  2. Step 2: Convert to fraction form
    426,813.24/640,206 = 127,296.30/x
  3. Step 3: Cross multiply
    426,813.24x = 640,206 × 127,296.30
  4. Step 4: Simplify right side
    426,813.24x = 81,495,855,037.80
  5. Step 5: Solve for x
    x = 81,495,855,037.80/426,813.24
  6. Step 6: Final answer
    x = 190,940.32

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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.