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Finding the Fourth Proportional to 637,780.88, 956,015.04 and 282,962

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Solution

The fourth proportional to 637,780.88, 956,015.04 and 282,962 is: 424,151.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,780.88 : 956,015.04 = 282,962 : x
  2. Step 2: Convert to fraction form
    637,780.88/956,015.04 = 282,962/x
  3. Step 3: Cross multiply
    637,780.88x = 956,015.04 × 282,962
  4. Step 4: Simplify right side
    637,780.88x = 270,515,927,748.48
  5. Step 5: Solve for x
    x = 270,515,927,748.48/637,780.88
  6. Step 6: Final answer
    x = 424,151.83

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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.