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Finding the Fourth Proportional to 429,053.91, 643,584.74 and 109,206.12

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Solution

The fourth proportional to 429,053.91, 643,584.74 and 109,206.12 is: 163,810.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,053.91 : 643,584.74 = 109,206.12 : x
  2. Step 2: Convert to fraction form
    429,053.91/643,584.74 = 109,206.12/x
  3. Step 3: Cross multiply
    429,053.91x = 643,584.74 × 109,206.12
  4. Step 4: Simplify right side
    429,053.91x = 70,283,391,800.58
  5. Step 5: Solve for x
    x = 70,283,391,800.58/429,053.91
  6. Step 6: Final answer
    x = 163,810.17

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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.