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Finding the Fourth Proportional to 656,455.50, 905,908.59 and 354,649.50

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Solution

The fourth proportional to 656,455.50, 905,908.59 and 354,649.50 is: 489,416.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,455.50 : 905,908.59 = 354,649.50 : x
  2. Step 2: Convert to fraction form
    656,455.50/905,908.59 = 354,649.50/x
  3. Step 3: Cross multiply
    656,455.50x = 905,908.59 × 354,649.50
  4. Step 4: Simplify right side
    656,455.50x = 321,280,028,489.21
  5. Step 5: Solve for x
    x = 321,280,028,489.21/656,455.50
  6. Step 6: Final answer
    x = 489,416.31

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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.