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Finding the Fourth Proportional to 643,216.65, 887,693.49 and 356,829

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Solution

The fourth proportional to 643,216.65, 887,693.49 and 356,829 is: 492,454.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,216.65 : 887,693.49 = 356,829 : x
  2. Step 2: Convert to fraction form
    643,216.65/887,693.49 = 356,829/x
  3. Step 3: Cross multiply
    643,216.65x = 887,693.49 × 356,829
  4. Step 4: Simplify right side
    643,216.65x = 316,754,780,343.21
  5. Step 5: Solve for x
    x = 316,754,780,343.21/643,216.65
  6. Step 6: Final answer
    x = 492,454.26

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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.