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Finding the Fourth Proportional to 429,700.76, 643,920.25 and 216,175.18

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Solution

The fourth proportional to 429,700.76, 643,920.25 and 216,175.18 is: 323,945.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,700.76 : 643,920.25 = 216,175.18 : x
  2. Step 2: Convert to fraction form
    429,700.76/643,920.25 = 216,175.18/x
  3. Step 3: Cross multiply
    429,700.76x = 643,920.25 × 216,175.18
  4. Step 4: Simplify right side
    429,700.76x = 139,199,571,648.92
  5. Step 5: Solve for x
    x = 139,199,571,648.92/429,700.76
  6. Step 6: Final answer
    x = 323,945.37

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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.