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Finding the Fourth Proportional to 656,483.36, 905,947.68 and 354,677.60

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Solution

The fourth proportional to 656,483.36, 905,947.68 and 354,677.60 is: 489,455.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,483.36 : 905,947.68 = 354,677.60 : x
  2. Step 2: Convert to fraction form
    656,483.36/905,947.68 = 354,677.60/x
  3. Step 3: Cross multiply
    656,483.36x = 905,947.68 × 354,677.60
  4. Step 4: Simplify right side
    656,483.36x = 321,319,348,867.97
  5. Step 5: Solve for x
    x = 321,319,348,867.97/656,483.36
  6. Step 6: Final answer
    x = 489,455.44

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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.