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Finding the Fourth Proportional to 271,412.20, 407,507.10 and 153,314.20

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Solution

The fourth proportional to 271,412.20, 407,507.10 and 153,314.20 is: 230,190.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,412.20 : 407,507.10 = 153,314.20 : x
  2. Step 2: Convert to fraction form
    271,412.20/407,507.10 = 153,314.20/x
  3. Step 3: Cross multiply
    271,412.20x = 407,507.10 × 153,314.20
  4. Step 4: Simplify right side
    271,412.20x = 62,476,625,030.82
  5. Step 5: Solve for x
    x = 62,476,625,030.82/271,412.20
  6. Step 6: Final answer
    x = 230,190.92

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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.