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Finding the Fourth Proportional to 634,651.16, 952,225.68 and 279,416

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Solution

The fourth proportional to 634,651.16, 952,225.68 and 279,416 is: 419,233.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,651.16 : 952,225.68 = 279,416 : x
  2. Step 2: Convert to fraction form
    634,651.16/952,225.68 = 279,416/x
  3. Step 3: Cross multiply
    634,651.16x = 952,225.68 × 279,416
  4. Step 4: Simplify right side
    634,651.16x = 266,067,090,602.88
  5. Step 5: Solve for x
    x = 266,067,090,602.88/634,651.16
  6. Step 6: Final answer
    x = 419,233.60

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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.