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Finding the Fourth Proportional to 656,384.60, 905,809.40 and 354,578.60

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Solution

The fourth proportional to 656,384.60, 905,809.40 and 354,578.60 is: 489,317.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,384.60 : 905,809.40 = 354,578.60 : x
  2. Step 2: Convert to fraction form
    656,384.60/905,809.40 = 354,578.60/x
  3. Step 3: Cross multiply
    656,384.60x = 905,809.40 × 354,578.60
  4. Step 4: Simplify right side
    656,384.60x = 321,180,627,145.95
  5. Step 5: Solve for x
    x = 321,180,627,145.95/656,384.60
  6. Step 6: Final answer
    x = 489,317.74

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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.