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Finding the Fourth Proportional to 659,854.72, 988,900.80 and 343,648.64

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Solution

The fourth proportional to 659,854.72, 988,900.80 and 343,648.64 is: 515,013.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,854.72 : 988,900.80 = 343,648.64 : x
  2. Step 2: Convert to fraction form
    659,854.72/988,900.80 = 343,648.64/x
  3. Step 3: Cross multiply
    659,854.72x = 988,900.80 × 343,648.64
  4. Step 4: Simplify right side
    659,854.72x = 339,834,415,014.91
  5. Step 5: Solve for x
    x = 339,834,415,014.91/659,854.72
  6. Step 6: Final answer
    x = 515,013.99

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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.