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Finding the Fourth Proportional to 512,223.64, 706,211.50 and 420,003.15

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Solution

The fourth proportional to 512,223.64, 706,211.50 and 420,003.15 is: 579,065.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,223.64 : 706,211.50 = 420,003.15 : x
  2. Step 2: Convert to fraction form
    512,223.64/706,211.50 = 420,003.15/x
  3. Step 3: Cross multiply
    512,223.64x = 706,211.50 × 420,003.15
  4. Step 4: Simplify right side
    512,223.64x = 296,611,054,566.23
  5. Step 5: Solve for x
    x = 296,611,054,566.23/512,223.64
  6. Step 6: Final answer
    x = 579,065.53

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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.