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Finding the Fourth Proportional to 310,953.83, 465,496.34 and 278,472.18

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Solution

The fourth proportional to 310,953.83, 465,496.34 and 278,472.18 is: 416,871.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,953.83 : 465,496.34 = 278,472.18 : x
  2. Step 2: Convert to fraction form
    310,953.83/465,496.34 = 278,472.18/x
  3. Step 3: Cross multiply
    310,953.83x = 465,496.34 × 278,472.18
  4. Step 4: Simplify right side
    310,953.83x = 129,627,777,558.16
  5. Step 5: Solve for x
    x = 129,627,777,558.16/310,953.83
  6. Step 6: Final answer
    x = 416,871.46

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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.