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Finding the Fourth Proportional to 509,065.83, 763,764.83 and 242,791.76

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Solution

The fourth proportional to 509,065.83, 763,764.83 and 242,791.76 is: 364,266.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,065.83 : 763,764.83 = 242,791.76 : x
  2. Step 2: Convert to fraction form
    509,065.83/763,764.83 = 242,791.76/x
  3. Step 3: Cross multiply
    509,065.83x = 763,764.83 × 242,791.76
  4. Step 4: Simplify right side
    509,065.83x = 185,435,807,301.80
  5. Step 5: Solve for x
    x = 185,435,807,301.80/509,065.83
  6. Step 6: Final answer
    x = 364,266.85

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1.5x scale

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.