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Finding the Fourth Proportional to 561,128.90, 841,718.34 and 205,949.16

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Solution

The fourth proportional to 561,128.90, 841,718.34 and 205,949.16 is: 308,932.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,128.90 : 841,718.34 = 205,949.16 : x
  2. Step 2: Convert to fraction form
    561,128.90/841,718.34 = 205,949.16/x
  3. Step 3: Cross multiply
    561,128.90x = 841,718.34 × 205,949.16
  4. Step 4: Simplify right side
    561,128.90x = 173,351,185,079.59
  5. Step 5: Solve for x
    x = 173,351,185,079.59/561,128.90
  6. Step 6: Final answer
    x = 308,932.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.