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Finding the Fourth Proportional to 409,653.71, 614,513.37 and 313,729.19

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Solution

The fourth proportional to 409,653.71, 614,513.37 and 313,729.19 is: 470,618.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,653.71 : 614,513.37 = 313,729.19 : x
  2. Step 2: Convert to fraction form
    409,653.71/614,513.37 = 313,729.19/x
  3. Step 3: Cross multiply
    409,653.71x = 614,513.37 × 313,729.19
  4. Step 4: Simplify right side
    409,653.71x = 192,790,778,741.70
  5. Step 5: Solve for x
    x = 192,790,778,741.70/409,653.71
  6. Step 6: Final answer
    x = 470,618.91

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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.