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Finding the Fourth Proportional to 421,678.17, 581,915.61 and 230,691.60

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Solution

The fourth proportional to 421,678.17, 581,915.61 and 230,691.60 is: 318,354.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,678.17 : 581,915.61 = 230,691.60 : x
  2. Step 2: Convert to fraction form
    421,678.17/581,915.61 = 230,691.60/x
  3. Step 3: Cross multiply
    421,678.17x = 581,915.61 × 230,691.60
  4. Step 4: Simplify right side
    421,678.17x = 134,243,043,135.88
  5. Step 5: Solve for x
    x = 134,243,043,135.88/421,678.17
  6. Step 6: Final answer
    x = 318,354.26

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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.