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Finding the Fourth Proportional to 323,742.30, 485,728.65 and 312,222.30

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Solution

The fourth proportional to 323,742.30, 485,728.65 and 312,222.30 is: 468,444.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,742.30 : 485,728.65 = 312,222.30 : x
  2. Step 2: Convert to fraction form
    323,742.30/485,728.65 = 312,222.30/x
  3. Step 3: Cross multiply
    323,742.30x = 485,728.65 × 312,222.30
  4. Step 4: Simplify right side
    323,742.30x = 151,655,316,278.90
  5. Step 5: Solve for x
    x = 151,655,316,278.90/323,742.30
  6. Step 6: Final answer
    x = 468,444.55

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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.