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Finding the Fourth Proportional to 461,010.30, 691,515.45 and 428,205.30

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Solution

The fourth proportional to 461,010.30, 691,515.45 and 428,205.30 is: 642,307.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,010.30 : 691,515.45 = 428,205.30 : x
  2. Step 2: Convert to fraction form
    461,010.30/691,515.45 = 428,205.30/x
  3. Step 3: Cross multiply
    461,010.30x = 691,515.45 × 428,205.30
  4. Step 4: Simplify right side
    461,010.30x = 296,110,580,721.89
  5. Step 5: Solve for x
    x = 296,110,580,721.89/461,010.30
  6. Step 6: Final answer
    x = 642,307.95

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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.