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Finding the Fourth Proportional to 643,564.77, 965,315.95 and 238,835.87

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Solution

The fourth proportional to 643,564.77, 965,315.95 and 238,835.87 is: 358,242.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,564.77 : 965,315.95 = 238,835.87 : x
  2. Step 2: Convert to fraction form
    643,564.77/965,315.95 = 238,835.87/x
  3. Step 3: Cross multiply
    643,564.77x = 965,315.95 × 238,835.87
  4. Step 4: Simplify right side
    643,564.77x = 230,552,078,369.29
  5. Step 5: Solve for x
    x = 230,552,078,369.29/643,564.77
  6. Step 6: Final answer
    x = 358,242.23

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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.