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Finding the Fourth Proportional to 511,352.25, 705,651.71 and 320,470.89

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Solution

The fourth proportional to 511,352.25, 705,651.71 and 320,470.89 is: 442,240.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,352.25 : 705,651.71 = 320,470.89 : x
  2. Step 2: Convert to fraction form
    511,352.25/705,651.71 = 320,470.89/x
  3. Step 3: Cross multiply
    511,352.25x = 705,651.71 × 320,470.89
  4. Step 4: Simplify right side
    511,352.25x = 226,140,831,533.72
  5. Step 5: Solve for x
    x = 226,140,831,533.72/511,352.25
  6. Step 6: Final answer
    x = 442,240.81

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1.5x scale

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.