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Finding the Fourth Proportional to 273,420.80, 409,390.08 and 141,816.32

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Solution

The fourth proportional to 273,420.80, 409,390.08 and 141,816.32 is: 212,340.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,420.80 : 409,390.08 = 141,816.32 : x
  2. Step 2: Convert to fraction form
    273,420.80/409,390.08 = 141,816.32/x
  3. Step 3: Cross multiply
    273,420.80x = 409,390.08 × 141,816.32
  4. Step 4: Simplify right side
    273,420.80x = 58,058,194,590.11
  5. Step 5: Solve for x
    x = 58,058,194,590.11/273,420.80
  6. Step 6: Final answer
    x = 212,340.08

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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.