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Finding the Fourth Proportional to 409,617.40, 614,426.10 and 114,129.40

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Solution

The fourth proportional to 409,617.40, 614,426.10 and 114,129.40 is: 171,194.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,617.40 : 614,426.10 = 114,129.40 : x
  2. Step 2: Convert to fraction form
    409,617.40/614,426.10 = 114,129.40/x
  3. Step 3: Cross multiply
    409,617.40x = 614,426.10 × 114,129.40
  4. Step 4: Simplify right side
    409,617.40x = 70,124,082,137.34
  5. Step 5: Solve for x
    x = 70,124,082,137.34/409,617.40
  6. Step 6: Final answer
    x = 171,194.10

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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.