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Finding the Fourth Proportional to 310,216.84, 465,256.14 and 123,178.12

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Solution

The fourth proportional to 310,216.84, 465,256.14 and 123,178.12 is: 184,739.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,216.84 : 465,256.14 = 123,178.12 : x
  2. Step 2: Convert to fraction form
    310,216.84/465,256.14 = 123,178.12/x
  3. Step 3: Cross multiply
    310,216.84x = 465,256.14 × 123,178.12
  4. Step 4: Simplify right side
    310,216.84x = 57,309,376,643.66
  5. Step 5: Solve for x
    x = 57,309,376,643.66/310,216.84
  6. Step 6: Final answer
    x = 184,739.73

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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.