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Finding the Fourth Proportional to 556,215, 834,348.42 and 162,231

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Solution

The fourth proportional to 556,215, 834,348.42 and 162,231 is: 243,354.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,215 : 834,348.42 = 162,231 : x
  2. Step 2: Convert to fraction form
    556,215/834,348.42 = 162,231/x
  3. Step 3: Cross multiply
    556,215x = 834,348.42 × 162,231
  4. Step 4: Simplify right side
    556,215x = 135,357,178,525.02
  5. Step 5: Solve for x
    x = 135,357,178,525.02/556,215
  6. Step 6: Final answer
    x = 243,354.06

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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.