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Finding the Fourth Proportional to 311,894.74, 430,417.32 and 172,197.83

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Solution

The fourth proportional to 311,894.74, 430,417.32 and 172,197.83 is: 237,634.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,894.74 : 430,417.32 = 172,197.83 : x
  2. Step 2: Convert to fraction form
    311,894.74/430,417.32 = 172,197.83/x
  3. Step 3: Cross multiply
    311,894.74x = 430,417.32 × 172,197.83
  4. Step 4: Simplify right side
    311,894.74x = 74,116,929,574.46
  5. Step 5: Solve for x
    x = 74,116,929,574.46/311,894.74
  6. Step 6: Final answer
    x = 237,634.43

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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.