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Finding the Fourth Proportional to 469,698.84, 648,299.70 and 288,453.96

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Solution

The fourth proportional to 469,698.84, 648,299.70 and 288,453.96 is: 398,137.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,698.84 : 648,299.70 = 288,453.96 : x
  2. Step 2: Convert to fraction form
    469,698.84/648,299.70 = 288,453.96/x
  3. Step 3: Cross multiply
    469,698.84x = 648,299.70 × 288,453.96
  4. Step 4: Simplify right side
    469,698.84x = 187,004,615,731.81
  5. Step 5: Solve for x
    x = 187,004,615,731.81/469,698.84
  6. Step 6: Final answer
    x = 398,137.27

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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.