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Finding the Fourth Proportional to 407,174.64, 610,803.80 and 140,934.72

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Solution

The fourth proportional to 407,174.64, 610,803.80 and 140,934.72 is: 211,416.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,174.64 : 610,803.80 = 140,934.72 : x
  2. Step 2: Convert to fraction form
    407,174.64/610,803.80 = 140,934.72/x
  3. Step 3: Cross multiply
    407,174.64x = 610,803.80 × 140,934.72
  4. Step 4: Simplify right side
    407,174.64x = 86,083,462,527.94
  5. Step 5: Solve for x
    x = 86,083,462,527.94/407,174.64
  6. Step 6: Final answer
    x = 211,416.56

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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.