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Finding the Fourth Proportional to 643,600.87, 965,369.93 and 238,871.86

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Solution

The fourth proportional to 643,600.87, 965,369.93 and 238,871.86 is: 358,296.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,600.87 : 965,369.93 = 238,871.86 : x
  2. Step 2: Convert to fraction form
    643,600.87/965,369.93 = 238,871.86/x
  3. Step 3: Cross multiply
    643,600.87x = 965,369.93 × 238,871.86
  4. Step 4: Simplify right side
    643,600.87x = 230,599,710,767.17
  5. Step 5: Solve for x
    x = 230,599,710,767.17/643,600.87
  6. Step 6: Final answer
    x = 358,296.15

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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.