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Finding the Fourth Proportional to 561,706.16, 775,047.24 and 319,983.44

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Solution

The fourth proportional to 561,706.16, 775,047.24 and 319,983.44 is: 441,516.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,706.16 : 775,047.24 = 319,983.44 : x
  2. Step 2: Convert to fraction form
    561,706.16/775,047.24 = 319,983.44/x
  3. Step 3: Cross multiply
    561,706.16x = 775,047.24 × 319,983.44
  4. Step 4: Simplify right side
    561,706.16x = 248,002,282,017.71
  5. Step 5: Solve for x
    x = 248,002,282,017.71/561,706.16
  6. Step 6: Final answer
    x = 441,516.04

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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.