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Finding the Fourth Proportional to 429,749.84, 644,624.76 and 163,448.84

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Solution

The fourth proportional to 429,749.84, 644,624.76 and 163,448.84 is: 245,173.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,749.84 : 644,624.76 = 163,448.84 : x
  2. Step 2: Convert to fraction form
    429,749.84/644,624.76 = 163,448.84/x
  3. Step 3: Cross multiply
    429,749.84x = 644,624.76 × 163,448.84
  4. Step 4: Simplify right side
    429,749.84x = 105,363,169,257.28
  5. Step 5: Solve for x
    x = 105,363,169,257.28/429,749.84
  6. Step 6: Final answer
    x = 245,173.26

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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.