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Finding the Fourth Proportional to 513,071.68, 708,005.07 and 295,245.15

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Solution

The fourth proportional to 513,071.68, 708,005.07 and 295,245.15 is: 407,418.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,071.68 : 708,005.07 = 295,245.15 : x
  2. Step 2: Convert to fraction form
    513,071.68/708,005.07 = 295,245.15/x
  3. Step 3: Cross multiply
    513,071.68x = 708,005.07 × 295,245.15
  4. Step 4: Simplify right side
    513,071.68x = 209,035,063,174.86
  5. Step 5: Solve for x
    x = 209,035,063,174.86/513,071.68
  6. Step 6: Final answer
    x = 407,418.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.