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Finding the Fourth Proportional to 426,426.29, 640,401.81 and 409,282.88

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Solution

The fourth proportional to 426,426.29, 640,401.81 and 409,282.88 is: 614,656.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,426.29 : 640,401.81 = 409,282.88 : x
  2. Step 2: Convert to fraction form
    426,426.29/640,401.81 = 409,282.88/x
  3. Step 3: Cross multiply
    426,426.29x = 640,401.81 × 409,282.88
  4. Step 4: Simplify right side
    426,426.29x = 262,105,493,952.00
  5. Step 5: Solve for x
    x = 262,105,493,952.00/426,426.29
  6. Step 6: Final answer
    x = 614,656.05

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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.