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Finding the Fourth Proportional to 713,881.50, 985,020.14 and 408,054.86

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Solution

The fourth proportional to 713,881.50, 985,020.14 and 408,054.86 is: 563,037.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,881.50 : 985,020.14 = 408,054.86 : x
  2. Step 2: Convert to fraction form
    713,881.50/985,020.14 = 408,054.86/x
  3. Step 3: Cross multiply
    713,881.50x = 985,020.14 × 408,054.86
  4. Step 4: Simplify right side
    713,881.50x = 401,942,260,654.48
  5. Step 5: Solve for x
    x = 401,942,260,654.48/713,881.50
  6. Step 6: Final answer
    x = 563,037.79

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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.