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Finding the Fourth Proportional to 513,567.86, 708,723.11 and 287,213.36

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Solution

The fourth proportional to 513,567.86, 708,723.11 and 287,213.36 is: 396,354.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,567.86 : 708,723.11 = 287,213.36 : x
  2. Step 2: Convert to fraction form
    513,567.86/708,723.11 = 287,213.36/x
  3. Step 3: Cross multiply
    513,567.86x = 708,723.11 × 287,213.36
  4. Step 4: Simplify right side
    513,567.86x = 203,554,743,242.91
  5. Step 5: Solve for x
    x = 203,554,743,242.91/513,567.86
  6. Step 6: Final answer
    x = 396,354.13

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1.5x scale

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.