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Finding the Fourth Proportional to 255,712.16, 352,912.96 and 153,789.60

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Solution

The fourth proportional to 255,712.16, 352,912.96 and 153,789.60 is: 212,247.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,712.16 : 352,912.96 = 153,789.60 : x
  2. Step 2: Convert to fraction form
    255,712.16/352,912.96 = 153,789.60/x
  3. Step 3: Cross multiply
    255,712.16x = 352,912.96 × 153,789.60
  4. Step 4: Simplify right side
    255,712.16x = 54,274,342,953.22
  5. Step 5: Solve for x
    x = 54,274,342,953.22/255,712.16
  6. Step 6: Final answer
    x = 212,247.80

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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.