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Finding the Fourth Proportional to 469,896.96, 648,162.78 and 278,775

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Solution

The fourth proportional to 469,896.96, 648,162.78 and 278,775 is: 384,534.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,896.96 : 648,162.78 = 278,775 : x
  2. Step 2: Convert to fraction form
    469,896.96/648,162.78 = 278,775/x
  3. Step 3: Cross multiply
    469,896.96x = 648,162.78 × 278,775
  4. Step 4: Simplify right side
    469,896.96x = 180,691,578,994.50
  5. Step 5: Solve for x
    x = 180,691,578,994.50/469,896.96
  6. Step 6: Final answer
    x = 384,534.47

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1.5x scale

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.