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Finding the Fourth Proportional to 421,574.96, 581,963.22 and 268,817.90

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Solution

The fourth proportional to 421,574.96, 581,963.22 and 268,817.90 is: 371,089.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,574.96 : 581,963.22 = 268,817.90 : x
  2. Step 2: Convert to fraction form
    421,574.96/581,963.22 = 268,817.90/x
  3. Step 3: Cross multiply
    421,574.96x = 581,963.22 × 268,817.90
  4. Step 4: Simplify right side
    421,574.96x = 156,442,130,677.64
  5. Step 5: Solve for x
    x = 156,442,130,677.64/421,574.96
  6. Step 6: Final answer
    x = 371,089.71

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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.