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Finding the Fourth Proportional to 656,138.25, 905,470.83 and 354,332.25

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Solution

The fourth proportional to 656,138.25, 905,470.83 and 354,332.25 is: 488,978.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,138.25 : 905,470.83 = 354,332.25 : x
  2. Step 2: Convert to fraction form
    656,138.25/905,470.83 = 354,332.25/x
  3. Step 3: Cross multiply
    656,138.25x = 905,470.83 × 354,332.25
  4. Step 4: Simplify right side
    656,138.25x = 320,837,516,503.27
  5. Step 5: Solve for x
    x = 320,837,516,503.27/656,138.25
  6. Step 6: Final answer
    x = 488,978.53

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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.