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Finding the Fourth Proportional to 504,141.30, 695,688.75 and 313,150.86

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Solution

The fourth proportional to 504,141.30, 695,688.75 and 313,150.86 is: 432,131.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,141.30 : 695,688.75 = 313,150.86 : x
  2. Step 2: Convert to fraction form
    504,141.30/695,688.75 = 313,150.86/x
  3. Step 3: Cross multiply
    504,141.30x = 695,688.75 × 313,150.86
  4. Step 4: Simplify right side
    504,141.30x = 217,855,530,354.83
  5. Step 5: Solve for x
    x = 217,855,530,354.83/504,141.30
  6. Step 6: Final answer
    x = 432,131.89

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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.