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Finding the Fourth Proportional to 208,365.78, 312,553.28 and 144,260.76

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Solution

The fourth proportional to 208,365.78, 312,553.28 and 144,260.76 is: 216,394.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,365.78 : 312,553.28 = 144,260.76 : x
  2. Step 2: Convert to fraction form
    208,365.78/312,553.28 = 144,260.76/x
  3. Step 3: Cross multiply
    208,365.78x = 312,553.28 × 144,260.76
  4. Step 4: Simplify right side
    208,365.78x = 45,089,173,713.29
  5. Step 5: Solve for x
    x = 45,089,173,713.29/208,365.78
  6. Step 6: Final answer
    x = 216,394.33

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1.5x scale

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.