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Finding the Fourth Proportional to 309,970.98, 464,901.90 and 85,277.19

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Solution

The fourth proportional to 309,970.98, 464,901.90 and 85,277.19 is: 127,900.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,970.98 : 464,901.90 = 85,277.19 : x
  2. Step 2: Convert to fraction form
    309,970.98/464,901.90 = 85,277.19/x
  3. Step 3: Cross multiply
    309,970.98x = 464,901.90 × 85,277.19
  4. Step 4: Simplify right side
    309,970.98x = 39,645,525,333.15
  5. Step 5: Solve for x
    x = 39,645,525,333.15/309,970.98
  6. Step 6: Final answer
    x = 127,900.76

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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.