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Finding the Fourth Proportional to 708,704.08, 978,094.64 and 402,826.44

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Solution

The fourth proportional to 708,704.08, 978,094.64 and 402,826.44 is: 555,947.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,704.08 : 978,094.64 = 402,826.44 : x
  2. Step 2: Convert to fraction form
    708,704.08/978,094.64 = 402,826.44/x
  3. Step 3: Cross multiply
    708,704.08x = 978,094.64 × 402,826.44
  4. Step 4: Simplify right side
    708,704.08x = 394,002,381,814.28
  5. Step 5: Solve for x
    x = 394,002,381,814.28/708,704.08
  6. Step 6: Final answer
    x = 555,947.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.