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Finding the Fourth Proportional to 230,002.97, 317,400.71 and 128,028.29

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Solution

The fourth proportional to 230,002.97, 317,400.71 and 128,028.29 is: 176,677.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,002.97 : 317,400.71 = 128,028.29 : x
  2. Step 2: Convert to fraction form
    230,002.97/317,400.71 = 128,028.29/x
  3. Step 3: Cross multiply
    230,002.97x = 317,400.71 × 128,028.29
  4. Step 4: Simplify right side
    230,002.97x = 40,636,267,918.94
  5. Step 5: Solve for x
    x = 40,636,267,918.94/230,002.97
  6. Step 6: Final answer
    x = 176,677.14

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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.