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Finding the Fourth Proportional to 270,411.90, 405,331.81 and 101,859.29

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Solution

The fourth proportional to 270,411.90, 405,331.81 and 101,859.29 is: 152,681.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,411.90 : 405,331.81 = 101,859.29 : x
  2. Step 2: Convert to fraction form
    270,411.90/405,331.81 = 101,859.29/x
  3. Step 3: Cross multiply
    270,411.90x = 405,331.81 × 101,859.29
  4. Step 4: Simplify right side
    270,411.90x = 41,286,810,381.01
  5. Step 5: Solve for x
    x = 41,286,810,381.01/270,411.90
  6. Step 6: Final answer
    x = 152,681.19

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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.