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Finding the Fourth Proportional to 409,405.19, 614,108.39 and 209,616.66

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Solution

The fourth proportional to 409,405.19, 614,108.39 and 209,616.66 is: 314,425.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,405.19 : 614,108.39 = 209,616.66 : x
  2. Step 2: Convert to fraction form
    409,405.19/614,108.39 = 209,616.66/x
  3. Step 3: Cross multiply
    409,405.19x = 614,108.39 × 209,616.66
  4. Step 4: Simplify right side
    409,405.19x = 128,727,348,541.69
  5. Step 5: Solve for x
    x = 128,727,348,541.69/409,405.19
  6. Step 6: Final answer
    x = 314,425.30

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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.