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Finding the Fourth Proportional to 515,955.24, 711,979.14 and 289,557

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Solution

The fourth proportional to 515,955.24, 711,979.14 and 289,557 is: 399,566.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,955.24 : 711,979.14 = 289,557 : x
  2. Step 2: Convert to fraction form
    515,955.24/711,979.14 = 289,557/x
  3. Step 3: Cross multiply
    515,955.24x = 711,979.14 × 289,557
  4. Step 4: Simplify right side
    515,955.24x = 206,158,543,840.98
  5. Step 5: Solve for x
    x = 206,158,543,840.98/515,955.24
  6. Step 6: Final answer
    x = 399,566.72

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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.