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Finding the Fourth Proportional to 426,944.32, 640,070.88 and 177,812.80

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Solution

The fourth proportional to 426,944.32, 640,070.88 and 177,812.80 is: 266,575.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,944.32 : 640,070.88 = 177,812.80 : x
  2. Step 2: Convert to fraction form
    426,944.32/640,070.88 = 177,812.80/x
  3. Step 3: Cross multiply
    426,944.32x = 640,070.88 × 177,812.80
  4. Step 4: Simplify right side
    426,944.32x = 113,812,795,371.26
  5. Step 5: Solve for x
    x = 113,812,795,371.26/426,944.32
  6. Step 6: Final answer
    x = 266,575.27

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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.