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Finding the Fourth Proportional to 650,583, 898,358.58 and 409,269.42

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Solution

The fourth proportional to 650,583, 898,358.58 and 409,269.42 is: 565,140.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,583 : 898,358.58 = 409,269.42 : x
  2. Step 2: Convert to fraction form
    650,583/898,358.58 = 409,269.42/x
  3. Step 3: Cross multiply
    650,583x = 898,358.58 × 409,269.42
  4. Step 4: Simplify right side
    650,583x = 367,670,694,988.62
  5. Step 5: Solve for x
    x = 367,670,694,988.62/650,583
  6. Step 6: Final answer
    x = 565,140.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.