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Finding the Fourth Proportional to 270,420.10, 405,668.55 and 83,412.10

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Solution

The fourth proportional to 270,420.10, 405,668.55 and 83,412.10 is: 125,129.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,420.10 : 405,668.55 = 83,412.10 : x
  2. Step 2: Convert to fraction form
    270,420.10/405,668.55 = 83,412.10/x
  3. Step 3: Cross multiply
    270,420.10x = 405,668.55 × 83,412.10
  4. Step 4: Simplify right side
    270,420.10x = 33,837,665,659.46
  5. Step 5: Solve for x
    x = 33,837,665,659.46/270,420.10
  6. Step 6: Final answer
    x = 125,129.99

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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.