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Finding the Fourth Proportional to 429,785.98, 644,700.38 and 163,567.13

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Solution

The fourth proportional to 429,785.98, 644,700.38 and 163,567.13 is: 245,358.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,785.98 : 644,700.38 = 163,567.13 : x
  2. Step 2: Convert to fraction form
    429,785.98/644,700.38 = 163,567.13/x
  3. Step 3: Cross multiply
    429,785.98x = 644,700.38 × 163,567.13
  4. Step 4: Simplify right side
    429,785.98x = 105,451,786,825.17
  5. Step 5: Solve for x
    x = 105,451,786,825.17/429,785.98
  6. Step 6: Final answer
    x = 245,358.84

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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.