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Finding the Fourth Proportional to 463,971.84, 640,594.94 and 289,808.27

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Solution

The fourth proportional to 463,971.84, 640,594.94 and 289,808.27 is: 400,131.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,971.84 : 640,594.94 = 289,808.27 : x
  2. Step 2: Convert to fraction form
    463,971.84/640,594.94 = 289,808.27/x
  3. Step 3: Cross multiply
    463,971.84x = 640,594.94 × 289,808.27
  4. Step 4: Simplify right side
    463,971.84x = 185,649,711,332.15
  5. Step 5: Solve for x
    x = 185,649,711,332.15/463,971.84
  6. Step 6: Final answer
    x = 400,131.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.