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Finding the Fourth Proportional to 512,181.16, 706,740.42 and 297,287.08

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Solution

The fourth proportional to 512,181.16, 706,740.42 and 297,287.08 is: 410,215.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,181.16 : 706,740.42 = 297,287.08 : x
  2. Step 2: Convert to fraction form
    512,181.16/706,740.42 = 297,287.08/x
  3. Step 3: Cross multiply
    512,181.16x = 706,740.42 × 297,287.08
  4. Step 4: Simplify right side
    512,181.16x = 210,104,795,779.77
  5. Step 5: Solve for x
    x = 210,104,795,779.77/512,181.16
  6. Step 6: Final answer
    x = 410,215.78

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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.