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Finding the Fourth Proportional to 306,447.84, 422,852.40 and 172,285.92

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Solution

The fourth proportional to 306,447.84, 422,852.40 and 172,285.92 is: 237,728.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,447.84 : 422,852.40 = 172,285.92 : x
  2. Step 2: Convert to fraction form
    306,447.84/422,852.40 = 172,285.92/x
  3. Step 3: Cross multiply
    306,447.84x = 422,852.40 × 172,285.92
  4. Step 4: Simplify right side
    306,447.84x = 72,851,514,758.21
  5. Step 5: Solve for x
    x = 72,851,514,758.21/306,447.84
  6. Step 6: Final answer
    x = 237,728.92

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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.