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Finding the Fourth Proportional to 310,739.88, 466,011 and 100,328.88

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Solution

The fourth proportional to 310,739.88, 466,011 and 100,328.88 is: 150,461.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,739.88 : 466,011 = 100,328.88 : x
  2. Step 2: Convert to fraction form
    310,739.88/466,011 = 100,328.88/x
  3. Step 3: Cross multiply
    310,739.88x = 466,011 × 100,328.88
  4. Step 4: Simplify right side
    310,739.88x = 46,754,361,697.68
  5. Step 5: Solve for x
    x = 46,754,361,697.68/310,739.88
  6. Step 6: Final answer
    x = 150,461.41

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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.