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Finding the Fourth Proportional to 468,332.21, 645,859.80 and 310,889.69

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Solution

The fourth proportional to 468,332.21, 645,859.80 and 310,889.69 is: 428,736.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,332.21 : 645,859.80 = 310,889.69 : x
  2. Step 2: Convert to fraction form
    468,332.21/645,859.80 = 310,889.69/x
  3. Step 3: Cross multiply
    468,332.21x = 645,859.80 × 310,889.69
  4. Step 4: Simplify right side
    468,332.21x = 200,791,153,005.46
  5. Step 5: Solve for x
    x = 200,791,153,005.46/468,332.21
  6. Step 6: Final answer
    x = 428,736.59

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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.