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Finding the Fourth Proportional to 515,437.92, 711,339.84 and 289,098

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Solution

The fourth proportional to 515,437.92, 711,339.84 and 289,098 is: 398,975.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,437.92 : 711,339.84 = 289,098 : x
  2. Step 2: Convert to fraction form
    515,437.92/711,339.84 = 289,098/x
  3. Step 3: Cross multiply
    515,437.92x = 711,339.84 × 289,098
  4. Step 4: Simplify right side
    515,437.92x = 205,646,925,064.32
  5. Step 5: Solve for x
    x = 205,646,925,064.32/515,437.92
  6. Step 6: Final answer
    x = 398,975.16

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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.