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Finding the Fourth Proportional to 361,878.56, 499,415.06 and 208,944.76

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Solution

The fourth proportional to 361,878.56, 499,415.06 and 208,944.76 is: 288,356.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,878.56 : 499,415.06 = 208,944.76 : x
  2. Step 2: Convert to fraction form
    361,878.56/499,415.06 = 208,944.76/x
  3. Step 3: Cross multiply
    361,878.56x = 499,415.06 × 208,944.76
  4. Step 4: Simplify right side
    361,878.56x = 104,350,159,852.09
  5. Step 5: Solve for x
    x = 104,350,159,852.09/361,878.56
  6. Step 6: Final answer
    x = 288,356.85

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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.