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Finding the Fourth Proportional to 407,776.20, 611,664.30 and 266,058.60

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Solution

The fourth proportional to 407,776.20, 611,664.30 and 266,058.60 is: 399,087.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,776.20 : 611,664.30 = 266,058.60 : x
  2. Step 2: Convert to fraction form
    407,776.20/611,664.30 = 266,058.60/x
  3. Step 3: Cross multiply
    407,776.20x = 611,664.30 × 266,058.60
  4. Step 4: Simplify right side
    407,776.20x = 162,738,547,327.98
  5. Step 5: Solve for x
    x = 162,738,547,327.98/407,776.20
  6. Step 6: Final answer
    x = 399,087.90

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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.