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Finding the Fourth Proportional to 280,595.24, 387,187.80 and 159,736.76

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Solution

The fourth proportional to 280,595.24, 387,187.80 and 159,736.76 is: 220,417.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,595.24 : 387,187.80 = 159,736.76 : x
  2. Step 2: Convert to fraction form
    280,595.24/387,187.80 = 159,736.76/x
  3. Step 3: Cross multiply
    280,595.24x = 387,187.80 × 159,736.76
  4. Step 4: Simplify right side
    280,595.24x = 61,848,124,683.53
  5. Step 5: Solve for x
    x = 61,848,124,683.53/280,595.24
  6. Step 6: Final answer
    x = 220,417.58

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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.