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Finding the Fourth Proportional to 421,142.95, 581,175.97 and 230,156.34

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Solution

The fourth proportional to 421,142.95, 581,175.97 and 230,156.34 is: 317,615.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,142.95 : 581,175.97 = 230,156.34 : x
  2. Step 2: Convert to fraction form
    421,142.95/581,175.97 = 230,156.34/x
  3. Step 3: Cross multiply
    421,142.95x = 581,175.97 × 230,156.34
  4. Step 4: Simplify right side
    421,142.95x = 133,761,334,151.15
  5. Step 5: Solve for x
    x = 133,761,334,151.15/421,142.95
  6. Step 6: Final answer
    x = 317,615.04

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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.