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Finding the Fourth Proportional to 429,971.49, 644,512.55 and 145,567.94

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Solution

The fourth proportional to 429,971.49, 644,512.55 and 145,567.94 is: 218,201.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,971.49 : 644,512.55 = 145,567.94 : x
  2. Step 2: Convert to fraction form
    429,971.49/644,512.55 = 145,567.94/x
  3. Step 3: Cross multiply
    429,971.49x = 644,512.55 × 145,567.94
  4. Step 4: Simplify right side
    429,971.49x = 93,820,360,257.24
  5. Step 5: Solve for x
    x = 93,820,360,257.24/429,971.49
  6. Step 6: Final answer
    x = 218,201.35

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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.