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Finding the Fourth Proportional to 512,358.21, 707,094.77 and 297,565.65

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Solution

The fourth proportional to 512,358.21, 707,094.77 and 297,565.65 is: 410,664.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,358.21 : 707,094.77 = 297,565.65 : x
  2. Step 2: Convert to fraction form
    512,358.21/707,094.77 = 297,565.65/x
  3. Step 3: Cross multiply
    512,358.21x = 707,094.77 × 297,565.65
  4. Step 4: Simplify right side
    512,358.21x = 210,407,113,358.82
  5. Step 5: Solve for x
    x = 210,407,113,358.82/512,358.21
  6. Step 6: Final answer
    x = 410,664.08

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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.