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Finding the Fourth Proportional to 429,808.90, 644,486.55 and 145,401.70

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Solution

The fourth proportional to 429,808.90, 644,486.55 and 145,401.70 is: 218,025.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,808.90 : 644,486.55 = 145,401.70 : x
  2. Step 2: Convert to fraction form
    429,808.90/644,486.55 = 145,401.70/x
  3. Step 3: Cross multiply
    429,808.90x = 644,486.55 × 145,401.70
  4. Step 4: Simplify right side
    429,808.90x = 93,709,439,997.14
  5. Step 5: Solve for x
    x = 93,709,439,997.14/429,808.90
  6. Step 6: Final answer
    x = 218,025.82

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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.