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Finding the Fourth Proportional to 429,349.30, 644,343.90 and 163,628.80

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Solution

The fourth proportional to 429,349.30, 644,343.90 and 163,628.80 is: 245,565.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,349.30 : 644,343.90 = 163,628.80 : x
  2. Step 2: Convert to fraction form
    429,349.30/644,343.90 = 163,628.80/x
  3. Step 3: Cross multiply
    429,349.30x = 644,343.90 × 163,628.80
  4. Step 4: Simplify right side
    429,349.30x = 105,433,219,144.32
  5. Step 5: Solve for x
    x = 105,433,219,144.32/429,349.30
  6. Step 6: Final answer
    x = 245,565.14

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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.