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Finding the Fourth Proportional to 230,849, 318,587.66 and 128,894.50

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Solution

The fourth proportional to 230,849, 318,587.66 and 128,894.50 is: 177,883.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,849 : 318,587.66 = 128,894.50 : x
  2. Step 2: Convert to fraction form
    230,849/318,587.66 = 128,894.50/x
  3. Step 3: Cross multiply
    230,849x = 318,587.66 × 128,894.50
  4. Step 4: Simplify right side
    230,849x = 41,064,197,141.87
  5. Step 5: Solve for x
    x = 41,064,197,141.87/230,849
  6. Step 6: Final answer
    x = 177,883.37

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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.