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Finding the Fourth Proportional to 429,765.57, 644,928.08 and 163,528.29

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Solution

The fourth proportional to 429,765.57, 644,928.08 and 163,528.29 is: 245,398.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,765.57 : 644,928.08 = 163,528.29 : x
  2. Step 2: Convert to fraction form
    429,765.57/644,928.08 = 163,528.29/x
  3. Step 3: Cross multiply
    429,765.57x = 644,928.08 × 163,528.29
  4. Step 4: Simplify right side
    429,765.57x = 105,463,985,277.74
  5. Step 5: Solve for x
    x = 105,463,985,277.74/429,765.57
  6. Step 6: Final answer
    x = 245,398.87

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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.