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Finding the Fourth Proportional to 429,400.41, 644,100.62 and 163,097.93

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Solution

The fourth proportional to 429,400.41, 644,100.62 and 163,097.93 is: 244,646.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,400.41 : 644,100.62 = 163,097.93 : x
  2. Step 2: Convert to fraction form
    429,400.41/644,100.62 = 163,097.93/x
  3. Step 3: Cross multiply
    429,400.41x = 644,100.62 × 163,097.93
  4. Step 4: Simplify right side
    429,400.41x = 105,051,473,797.72
  5. Step 5: Solve for x
    x = 105,051,473,797.72/429,400.41
  6. Step 6: Final answer
    x = 244,646.89

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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.