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Finding the Fourth Proportional to 429,667.92, 644,518.08 and 163,378.80

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Solution

The fourth proportional to 429,667.92, 644,518.08 and 163,378.80 is: 245,074.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,667.92 : 644,518.08 = 163,378.80 : x
  2. Step 2: Convert to fraction form
    429,667.92/644,518.08 = 163,378.80/x
  3. Step 3: Cross multiply
    429,667.92x = 644,518.08 × 163,378.80
  4. Step 4: Simplify right side
    429,667.92x = 105,300,590,488.70
  5. Step 5: Solve for x
    x = 105,300,590,488.70/429,667.92
  6. Step 6: Final answer
    x = 245,074.36

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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.