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Finding the Fourth Proportional to 429,816.66, 644,802.82 and 141,643.68

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Solution

The fourth proportional to 429,816.66, 644,802.82 and 141,643.68 is: 212,491.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,816.66 : 644,802.82 = 141,643.68 : x
  2. Step 2: Convert to fraction form
    429,816.66/644,802.82 = 141,643.68/x
  3. Step 3: Cross multiply
    429,816.66x = 644,802.82 × 141,643.68
  4. Step 4: Simplify right side
    429,816.66x = 91,332,244,299.18
  5. Step 5: Solve for x
    x = 91,332,244,299.18/429,816.66
  6. Step 6: Final answer
    x = 212,491.17

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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.