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Finding the Fourth Proportional to 255,200.40, 382,800.60 and 153,723.60

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Solution

The fourth proportional to 255,200.40, 382,800.60 and 153,723.60 is: 230,585.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,200.40 : 382,800.60 = 153,723.60 : x
  2. Step 2: Convert to fraction form
    255,200.40/382,800.60 = 153,723.60/x
  3. Step 3: Cross multiply
    255,200.40x = 382,800.60 × 153,723.60
  4. Step 4: Simplify right side
    255,200.40x = 58,845,486,314.16
  5. Step 5: Solve for x
    x = 58,845,486,314.16/255,200.40
  6. Step 6: Final answer
    x = 230,585.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.