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Finding the Fourth Proportional to 310,308.40, 465,025.20 and 191,627.20

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Solution

The fourth proportional to 310,308.40, 465,025.20 and 191,627.20 is: 287,170.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,308.40 : 465,025.20 = 191,627.20 : x
  2. Step 2: Convert to fraction form
    310,308.40/465,025.20 = 191,627.20/x
  3. Step 3: Cross multiply
    310,308.40x = 465,025.20 × 191,627.20
  4. Step 4: Simplify right side
    310,308.40x = 89,111,477,005.44
  5. Step 5: Solve for x
    x = 89,111,477,005.44/310,308.40
  6. Step 6: Final answer
    x = 287,170.69

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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.