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Finding the Fourth Proportional to 429,820.32, 644,562 and 252,372

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Solution

The fourth proportional to 429,820.32, 644,562 and 252,372 is: 378,459.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,820.32 : 644,562 = 252,372 : x
  2. Step 2: Convert to fraction form
    429,820.32/644,562 = 252,372/x
  3. Step 3: Cross multiply
    429,820.32x = 644,562 × 252,372
  4. Step 4: Simplify right side
    429,820.32x = 162,669,401,064
  5. Step 5: Solve for x
    x = 162,669,401,064/429,820.32
  6. Step 6: Final answer
    x = 378,459.08

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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.