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Finding the Fourth Proportional to 611,538.84, 917,219.16 and 162,286.92

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Solution

The fourth proportional to 611,538.84, 917,219.16 and 162,286.92 is: 243,406.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,538.84 : 917,219.16 = 162,286.92 : x
  2. Step 2: Convert to fraction form
    611,538.84/917,219.16 = 162,286.92/x
  3. Step 3: Cross multiply
    611,538.84x = 917,219.16 × 162,286.92
  4. Step 4: Simplify right side
    611,538.84x = 148,852,672,441.39
  5. Step 5: Solve for x
    x = 148,852,672,441.39/611,538.84
  6. Step 6: Final answer
    x = 243,406.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.