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Finding the Fourth Proportional to 460,253.97, 634,823.31 and 307,215

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Solution

The fourth proportional to 460,253.97, 634,823.31 and 307,215 is: 423,738.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,253.97 : 634,823.31 = 307,215 : x
  2. Step 2: Convert to fraction form
    460,253.97/634,823.31 = 307,215/x
  3. Step 3: Cross multiply
    460,253.97x = 634,823.31 × 307,215
  4. Step 4: Simplify right side
    460,253.97x = 195,027,243,181.65
  5. Step 5: Solve for x
    x = 195,027,243,181.65/460,253.97
  6. Step 6: Final answer
    x = 423,738.32

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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.