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Finding the Fourth Proportional to 782,784, 1,174,176 and 191,808

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Solution

The fourth proportional to 782,784, 1,174,176 and 191,808 is: 287,712

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,784 : 1,174,176 = 191,808 : x
  2. Step 2: Convert to fraction form
    782,784/1,174,176 = 191,808/x
  3. Step 3: Cross multiply
    782,784x = 1,174,176 × 191,808
  4. Step 4: Simplify right side
    782,784x = 225,216,350,208
  5. Step 5: Solve for x
    x = 225,216,350,208/782,784
  6. Step 6: Final answer
    x = 287,712

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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.