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Finding the Fourth Proportional to 617,758.74, 926,654.31 and 212,946.66

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Solution

The fourth proportional to 617,758.74, 926,654.31 and 212,946.66 is: 319,425.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,758.74 : 926,654.31 = 212,946.66 : x
  2. Step 2: Convert to fraction form
    617,758.74/926,654.31 = 212,946.66/x
  3. Step 3: Cross multiply
    617,758.74x = 926,654.31 × 212,946.66
  4. Step 4: Simplify right side
    617,758.74x = 197,327,940,289.11
  5. Step 5: Solve for x
    x = 197,327,940,289.11/617,758.74
  6. Step 6: Final answer
    x = 319,425.57

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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.