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Finding the Fourth Proportional to 659,138.60, 988,938.30 and 285,429.80

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Solution

The fourth proportional to 659,138.60, 988,938.30 and 285,429.80 is: 428,244.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,138.60 : 988,938.30 = 285,429.80 : x
  2. Step 2: Convert to fraction form
    659,138.60/988,938.30 = 285,429.80/x
  3. Step 3: Cross multiply
    659,138.60x = 988,938.30 × 285,429.80
  4. Step 4: Simplify right side
    659,138.60x = 282,272,461,181.34
  5. Step 5: Solve for x
    x = 282,272,461,181.34/659,138.60
  6. Step 6: Final answer
    x = 428,244.47

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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.