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Finding the Fourth Proportional to 611,346.69, 916,601.77 and 311,246.55

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Solution

The fourth proportional to 611,346.69, 916,601.77 and 311,246.55 is: 466,656.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,346.69 : 916,601.77 = 311,246.55 : x
  2. Step 2: Convert to fraction form
    611,346.69/916,601.77 = 311,246.55/x
  3. Step 3: Cross multiply
    611,346.69x = 916,601.77 × 311,246.55
  4. Step 4: Simplify right side
    611,346.69x = 285,289,139,025.45
  5. Step 5: Solve for x
    x = 285,289,139,025.45/611,346.69
  6. Step 6: Final answer
    x = 466,656.88

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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.