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Finding the Fourth Proportional to 610,442.60, 915,404.70 and 294,996.20

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Solution

The fourth proportional to 610,442.60, 915,404.70 and 294,996.20 is: 442,369.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,442.60 : 915,404.70 = 294,996.20 : x
  2. Step 2: Convert to fraction form
    610,442.60/915,404.70 = 294,996.20/x
  3. Step 3: Cross multiply
    610,442.60x = 915,404.70 × 294,996.20
  4. Step 4: Simplify right side
    610,442.60x = 270,040,907,962.14
  5. Step 5: Solve for x
    x = 270,040,907,962.14/610,442.60
  6. Step 6: Final answer
    x = 442,369.04

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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.