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Finding the Fourth Proportional to 270,938.20, 406,796.10 and 152,840.20

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Solution

The fourth proportional to 270,938.20, 406,796.10 and 152,840.20 is: 229,479.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,938.20 : 406,796.10 = 152,840.20 : x
  2. Step 2: Convert to fraction form
    270,938.20/406,796.10 = 152,840.20/x
  3. Step 3: Cross multiply
    270,938.20x = 406,796.10 × 152,840.20
  4. Step 4: Simplify right side
    270,938.20x = 62,174,797,283.22
  5. Step 5: Solve for x
    x = 62,174,797,283.22/270,938.20
  6. Step 6: Final answer
    x = 229,479.63

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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.