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Finding the Fourth Proportional to 266,943.60, 400,415.40 and 257,612.40

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Solution

The fourth proportional to 266,943.60, 400,415.40 and 257,612.40 is: 386,418.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,943.60 : 400,415.40 = 257,612.40 : x
  2. Step 2: Convert to fraction form
    266,943.60/400,415.40 = 257,612.40/x
  3. Step 3: Cross multiply
    266,943.60x = 400,415.40 × 257,612.40
  4. Step 4: Simplify right side
    266,943.60x = 103,151,972,190.96
  5. Step 5: Solve for x
    x = 103,151,972,190.96/266,943.60
  6. Step 6: Final answer
    x = 386,418.60

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1.5x scale

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.