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Finding the Fourth Proportional to 407,887.04, 611,767.38 and 208,354.88

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Solution

The fourth proportional to 407,887.04, 611,767.38 and 208,354.88 is: 312,500.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,887.04 : 611,767.38 = 208,354.88 : x
  2. Step 2: Convert to fraction form
    407,887.04/611,767.38 = 208,354.88/x
  3. Step 3: Cross multiply
    407,887.04x = 611,767.38 × 208,354.88
  4. Step 4: Simplify right side
    407,887.04x = 127,464,721,358.56
  5. Step 5: Solve for x
    x = 127,464,721,358.56/407,887.04
  6. Step 6: Final answer
    x = 312,500.05

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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.