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Finding the Fourth Proportional to 442,875.80, 664,313.70 and 419,547.80

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Solution

The fourth proportional to 442,875.80, 664,313.70 and 419,547.80 is: 629,321.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,875.80 : 664,313.70 = 419,547.80 : x
  2. Step 2: Convert to fraction form
    442,875.80/664,313.70 = 419,547.80/x
  3. Step 3: Cross multiply
    442,875.80x = 664,313.70 × 419,547.80
  4. Step 4: Simplify right side
    442,875.80x = 278,711,351,344.86
  5. Step 5: Solve for x
    x = 278,711,351,344.86/442,875.80
  6. Step 6: Final answer
    x = 629,321.70

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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.