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Finding the Fourth Proportional to 312,307.77, 430,984.87 and 169,067.81

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Solution

The fourth proportional to 312,307.77, 430,984.87 and 169,067.81 is: 233,313.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,307.77 : 430,984.87 = 169,067.81 : x
  2. Step 2: Convert to fraction form
    312,307.77/430,984.87 = 169,067.81/x
  3. Step 3: Cross multiply
    312,307.77x = 430,984.87 × 169,067.81
  4. Step 4: Simplify right side
    312,307.77x = 72,865,668,768.83
  5. Step 5: Solve for x
    x = 72,865,668,768.83/312,307.77
  6. Step 6: Final answer
    x = 233,313.66

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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.