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Finding the Fourth Proportional to 310,234.56, 465,443.52 and 99,867.36

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Solution

The fourth proportional to 310,234.56, 465,443.52 and 99,867.36 is: 149,830.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,234.56 : 465,443.52 = 99,867.36 : x
  2. Step 2: Convert to fraction form
    310,234.56/465,443.52 = 99,867.36/x
  3. Step 3: Cross multiply
    310,234.56x = 465,443.52 × 99,867.36
  4. Step 4: Simplify right side
    310,234.56x = 46,482,615,571.51
  5. Step 5: Solve for x
    x = 46,482,615,571.51/310,234.56
  6. Step 6: Final answer
    x = 149,830.55

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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.