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Finding the Fourth Proportional to 868,856.40, 1,302,701.40 and 419,792.40

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Solution

The fourth proportional to 868,856.40, 1,302,701.40 and 419,792.40 is: 629,406.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    868,856.40 : 1,302,701.40 = 419,792.40 : x
  2. Step 2: Convert to fraction form
    868,856.40/1,302,701.40 = 419,792.40/x
  3. Step 3: Cross multiply
    868,856.40x = 1,302,701.40 × 419,792.40
  4. Step 4: Simplify right side
    868,856.40x = 546,864,147,189.36
  5. Step 5: Solve for x
    x = 546,864,147,189.36/868,856.40
  6. Step 6: Final answer
    x = 629,406.82

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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.