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Finding the Fourth Proportional to 312,065, 430,656.18 and 184,694.12

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Solution

The fourth proportional to 312,065, 430,656.18 and 184,694.12 is: 254,881.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,065 : 430,656.18 = 184,694.12 : x
  2. Step 2: Convert to fraction form
    312,065/430,656.18 = 184,694.12/x
  3. Step 3: Cross multiply
    312,065x = 430,656.18 × 184,694.12
  4. Step 4: Simplify right side
    312,065x = 79,539,664,187.66
  5. Step 5: Solve for x
    x = 79,539,664,187.66/312,065
  6. Step 6: Final answer
    x = 254,881.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.