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Finding the Fourth Proportional to 456,711.60, 685,164.60 and 141,200.40

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Solution

The fourth proportional to 456,711.60, 685,164.60 and 141,200.40 is: 211,830.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,711.60 : 685,164.60 = 141,200.40 : x
  2. Step 2: Convert to fraction form
    456,711.60/685,164.60 = 141,200.40/x
  3. Step 3: Cross multiply
    456,711.60x = 685,164.60 × 141,200.40
  4. Step 4: Simplify right side
    456,711.60x = 96,745,515,585.84
  5. Step 5: Solve for x
    x = 96,745,515,585.84/456,711.60
  6. Step 6: Final answer
    x = 211,830.65

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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.