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Finding the Fourth Proportional to 617,712.76, 926,757.30 and 302,123.80

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Solution

The fourth proportional to 617,712.76, 926,757.30 and 302,123.80 is: 453,277.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,712.76 : 926,757.30 = 302,123.80 : x
  2. Step 2: Convert to fraction form
    617,712.76/926,757.30 = 302,123.80/x
  3. Step 3: Cross multiply
    617,712.76x = 926,757.30 × 302,123.80
  4. Step 4: Simplify right side
    617,712.76x = 279,995,437,153.74
  5. Step 5: Solve for x
    x = 279,995,437,153.74/617,712.76
  6. Step 6: Final answer
    x = 453,277.73

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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.