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Finding the Fourth Proportional to 280,558, 387,118.64 and 159,692.24

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Solution

The fourth proportional to 280,558, 387,118.64 and 159,692.24 is: 220,346.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,558 : 387,118.64 = 159,692.24 : x
  2. Step 2: Convert to fraction form
    280,558/387,118.64 = 159,692.24/x
  3. Step 3: Cross multiply
    280,558x = 387,118.64 × 159,692.24
  4. Step 4: Simplify right side
    280,558x = 61,819,842,767.35
  5. Step 5: Solve for x
    x = 61,819,842,767.35/280,558
  6. Step 6: Final answer
    x = 220,346.03

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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.