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Finding the Fourth Proportional to 409,146.39, 613,867.41 and 209,560.77

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Solution

The fourth proportional to 409,146.39, 613,867.41 and 209,560.77 is: 314,416.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,146.39 : 613,867.41 = 209,560.77 : x
  2. Step 2: Convert to fraction form
    409,146.39/613,867.41 = 209,560.77/x
  3. Step 3: Cross multiply
    409,146.39x = 613,867.41 × 209,560.77
  4. Step 4: Simplify right side
    409,146.39x = 128,642,527,117.51
  5. Step 5: Solve for x
    x = 128,642,527,117.51/409,146.39
  6. Step 6: Final answer
    x = 314,416.87

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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.