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Finding the Fourth Proportional to 429,345.30, 644,337.90 and 163,624.80

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Solution

The fourth proportional to 429,345.30, 644,337.90 and 163,624.80 is: 245,559.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,345.30 : 644,337.90 = 163,624.80 : x
  2. Step 2: Convert to fraction form
    429,345.30/644,337.90 = 163,624.80/x
  3. Step 3: Cross multiply
    429,345.30x = 644,337.90 × 163,624.80
  4. Step 4: Simplify right side
    429,345.30x = 105,429,660,019.92
  5. Step 5: Solve for x
    x = 105,429,660,019.92/429,345.30
  6. Step 6: Final answer
    x = 245,559.13

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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.