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Finding the Fourth Proportional to 611,606.20, 917,409.30 and 442,769.80

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Solution

The fourth proportional to 611,606.20, 917,409.30 and 442,769.80 is: 664,154.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,606.20 : 917,409.30 = 442,769.80 : x
  2. Step 2: Convert to fraction form
    611,606.20/917,409.30 = 442,769.80/x
  3. Step 3: Cross multiply
    611,606.20x = 917,409.30 × 442,769.80
  4. Step 4: Simplify right side
    611,606.20x = 406,201,132,279.14
  5. Step 5: Solve for x
    x = 406,201,132,279.14/611,606.20
  6. Step 6: Final answer
    x = 664,154.70

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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.