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Finding the Fourth Proportional to 429,903.79, 644,861.76 and 163,678.86

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Solution

The fourth proportional to 429,903.79, 644,861.76 and 163,678.86 is: 245,520.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,903.79 : 644,861.76 = 163,678.86 : x
  2. Step 2: Convert to fraction form
    429,903.79/644,861.76 = 163,678.86/x
  3. Step 3: Cross multiply
    429,903.79x = 644,861.76 × 163,678.86
  4. Step 4: Simplify right side
    429,903.79x = 105,550,237,120.60
  5. Step 5: Solve for x
    x = 105,550,237,120.60/429,903.79
  6. Step 6: Final answer
    x = 245,520.60

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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.