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Finding the Fourth Proportional to 432,136.80, 647,816.40 and 282,448.80

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Solution

The fourth proportional to 432,136.80, 647,816.40 and 282,448.80 is: 423,419.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,136.80 : 647,816.40 = 282,448.80 : x
  2. Step 2: Convert to fraction form
    432,136.80/647,816.40 = 282,448.80/x
  3. Step 3: Cross multiply
    432,136.80x = 647,816.40 × 282,448.80
  4. Step 4: Simplify right side
    432,136.80x = 182,974,964,800.32
  5. Step 5: Solve for x
    x = 182,974,964,800.32/432,136.80
  6. Step 6: Final answer
    x = 423,419.08

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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.