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Finding the Fourth Proportional to 523,637.40, 784,937.70 and 257,179.80

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Solution

The fourth proportional to 523,637.40, 784,937.70 and 257,179.80 is: 385,515.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,637.40 : 784,937.70 = 257,179.80 : x
  2. Step 2: Convert to fraction form
    523,637.40/784,937.70 = 257,179.80/x
  3. Step 3: Cross multiply
    523,637.40x = 784,937.70 × 257,179.80
  4. Step 4: Simplify right side
    523,637.40x = 201,870,120,698.46
  5. Step 5: Solve for x
    x = 201,870,120,698.46/523,637.40
  6. Step 6: Final answer
    x = 385,515.09

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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.