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Finding the Fourth Proportional to 363,969.50, 502,218.81 and 210,977.84

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Solution

The fourth proportional to 363,969.50, 502,218.81 and 210,977.84 is: 291,115.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,969.50 : 502,218.81 = 210,977.84 : x
  2. Step 2: Convert to fraction form
    363,969.50/502,218.81 = 210,977.84/x
  3. Step 3: Cross multiply
    363,969.50x = 502,218.81 × 210,977.84
  4. Step 4: Simplify right side
    363,969.50x = 105,957,039,741.17
  5. Step 5: Solve for x
    x = 105,957,039,741.17/363,969.50
  6. Step 6: Final answer
    x = 291,115.16

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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.