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Finding the Fourth Proportional to 461,315.88, 692,089.02 and 128,889

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Solution

The fourth proportional to 461,315.88, 692,089.02 and 128,889 is: 193,365.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,315.88 : 692,089.02 = 128,889 : x
  2. Step 2: Convert to fraction form
    461,315.88/692,089.02 = 128,889/x
  3. Step 3: Cross multiply
    461,315.88x = 692,089.02 × 128,889
  4. Step 4: Simplify right side
    461,315.88x = 89,202,661,698.78
  5. Step 5: Solve for x
    x = 89,202,661,698.78/461,315.88
  6. Step 6: Final answer
    x = 193,365.69

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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.