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Finding the Fourth Proportional to 413,398.08, 570,097.44 and 270,280.80

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Solution

The fourth proportional to 413,398.08, 570,097.44 and 270,280.80 is: 372,731.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,398.08 : 570,097.44 = 270,280.80 : x
  2. Step 2: Convert to fraction form
    413,398.08/570,097.44 = 270,280.80/x
  3. Step 3: Cross multiply
    413,398.08x = 570,097.44 × 270,280.80
  4. Step 4: Simplify right side
    413,398.08x = 154,086,392,161.15
  5. Step 5: Solve for x
    x = 154,086,392,161.15/413,398.08
  6. Step 6: Final answer
    x = 372,731.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.