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Finding the Fourth Proportional to 478,240.83, 659,947.04 and 274,281.21

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Solution

The fourth proportional to 478,240.83, 659,947.04 and 274,281.21 is: 378,493.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,240.83 : 659,947.04 = 274,281.21 : x
  2. Step 2: Convert to fraction form
    478,240.83/659,947.04 = 274,281.21/x
  3. Step 3: Cross multiply
    478,240.83x = 659,947.04 × 274,281.21
  4. Step 4: Simplify right side
    478,240.83x = 181,011,072,667.12
  5. Step 5: Solve for x
    x = 181,011,072,667.12/478,240.83
  6. Step 6: Final answer
    x = 378,493.56

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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.