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Finding the Fourth Proportional to 863,751.68, 1,294,409.64 and 407,856.50

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Solution

The fourth proportional to 863,751.68, 1,294,409.64 and 407,856.50 is: 611,209.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,751.68 : 1,294,409.64 = 407,856.50 : x
  2. Step 2: Convert to fraction form
    863,751.68/1,294,409.64 = 407,856.50/x
  3. Step 3: Cross multiply
    863,751.68x = 1,294,409.64 × 407,856.50
  4. Step 4: Simplify right side
    863,751.68x = 527,933,378,864.61
  5. Step 5: Solve for x
    x = 527,933,378,864.61/863,751.68
  6. Step 6: Final answer
    x = 611,209.67

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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.