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Finding the Fourth Proportional to 512,244.34, 706,989.72 and 305,525.98

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Solution

The fourth proportional to 512,244.34, 706,989.72 and 305,525.98 is: 421,681.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,244.34 : 706,989.72 = 305,525.98 : x
  2. Step 2: Convert to fraction form
    512,244.34/706,989.72 = 305,525.98/x
  3. Step 3: Cross multiply
    512,244.34x = 706,989.72 × 305,525.98
  4. Step 4: Simplify right side
    512,244.34x = 216,003,727,052.93
  5. Step 5: Solve for x
    x = 216,003,727,052.93/512,244.34
  6. Step 6: Final answer
    x = 421,681.04

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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.