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Finding the Fourth Proportional to 312,776.94, 469,165.46 and 76,119.62

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Solution

The fourth proportional to 312,776.94, 469,165.46 and 76,119.62 is: 114,179.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,776.94 : 469,165.46 = 76,119.62 : x
  2. Step 2: Convert to fraction form
    312,776.94/469,165.46 = 76,119.62/x
  3. Step 3: Cross multiply
    312,776.94x = 469,165.46 × 76,119.62
  4. Step 4: Simplify right side
    312,776.94x = 35,712,697,895.54
  5. Step 5: Solve for x
    x = 35,712,697,895.54/312,776.94
  6. Step 6: Final answer
    x = 114,179.45

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1.5x scale

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.