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Finding the Fourth Proportional to 409,643.40, 614,465.10 and 220,686.60

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Solution

The fourth proportional to 409,643.40, 614,465.10 and 220,686.60 is: 331,029.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,643.40 : 614,465.10 = 220,686.60 : x
  2. Step 2: Convert to fraction form
    409,643.40/614,465.10 = 220,686.60/x
  3. Step 3: Cross multiply
    409,643.40x = 614,465.10 × 220,686.60
  4. Step 4: Simplify right side
    409,643.40x = 135,604,213,737.66
  5. Step 5: Solve for x
    x = 135,604,213,737.66/409,643.40
  6. Step 6: Final answer
    x = 331,029.90

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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.