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Finding the Fourth Proportional to 523,898.40, 785,329.20 and 257,440.80

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Solution

The fourth proportional to 523,898.40, 785,329.20 and 257,440.80 is: 385,906.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,898.40 : 785,329.20 = 257,440.80 : x
  2. Step 2: Convert to fraction form
    523,898.40/785,329.20 = 257,440.80/x
  3. Step 3: Cross multiply
    523,898.40x = 785,329.20 × 257,440.80
  4. Step 4: Simplify right side
    523,898.40x = 202,175,777,511.36
  5. Step 5: Solve for x
    x = 202,175,777,511.36/523,898.40
  6. Step 6: Final answer
    x = 385,906.46

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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.