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Finding the Fourth Proportional to 407,774.20, 611,661.30 and 266,056.60

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Solution

The fourth proportional to 407,774.20, 611,661.30 and 266,056.60 is: 399,084.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,774.20 : 611,661.30 = 266,056.60 : x
  2. Step 2: Convert to fraction form
    407,774.20/611,661.30 = 266,056.60/x
  3. Step 3: Cross multiply
    407,774.20x = 611,661.30 × 266,056.60
  4. Step 4: Simplify right side
    407,774.20x = 162,736,525,829.58
  5. Step 5: Solve for x
    x = 162,736,525,829.58/407,774.20
  6. Step 6: Final answer
    x = 399,084.90

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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.