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Finding the Fourth Proportional to 469,900.46, 648,167.61 and 278,778.50

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Solution

The fourth proportional to 469,900.46, 648,167.61 and 278,778.50 is: 384,539.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,900.46 : 648,167.61 = 278,778.50 : x
  2. Step 2: Convert to fraction form
    469,900.46/648,167.61 = 278,778.50/x
  3. Step 3: Cross multiply
    469,900.46x = 648,167.61 × 278,778.50
  4. Step 4: Simplify right side
    469,900.46x = 180,695,194,064.39
  5. Step 5: Solve for x
    x = 180,695,194,064.39/469,900.46
  6. Step 6: Final answer
    x = 384,539.30

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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.