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Finding the Fourth Proportional to 309,053.28, 463,571.20 and 98,703.84

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Solution

The fourth proportional to 309,053.28, 463,571.20 and 98,703.84 is: 148,052.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,053.28 : 463,571.20 = 98,703.84 : x
  2. Step 2: Convert to fraction form
    309,053.28/463,571.20 = 98,703.84/x
  3. Step 3: Cross multiply
    309,053.28x = 463,571.20 × 98,703.84
  4. Step 4: Simplify right side
    309,053.28x = 45,756,257,553.41
  5. Step 5: Solve for x
    x = 45,756,257,553.41/309,053.28
  6. Step 6: Final answer
    x = 148,052.98

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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.