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Finding the Fourth Proportional to 471,877.07, 707,811.08 and 279,613.10

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Solution

The fourth proportional to 471,877.07, 707,811.08 and 279,613.10 is: 419,416.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,877.07 : 707,811.08 = 279,613.10 : x
  2. Step 2: Convert to fraction form
    471,877.07/707,811.08 = 279,613.10/x
  3. Step 3: Cross multiply
    471,877.07x = 707,811.08 × 279,613.10
  4. Step 4: Simplify right side
    471,877.07x = 197,913,246,939.82
  5. Step 5: Solve for x
    x = 197,913,246,939.82/471,877.07
  6. Step 6: Final answer
    x = 419,416.96

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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.