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Finding the Fourth Proportional to 209,864.40, 314,796.60 and 165,627.60

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Solution

The fourth proportional to 209,864.40, 314,796.60 and 165,627.60 is: 248,441.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,864.40 : 314,796.60 = 165,627.60 : x
  2. Step 2: Convert to fraction form
    209,864.40/314,796.60 = 165,627.60/x
  3. Step 3: Cross multiply
    209,864.40x = 314,796.60 × 165,627.60
  4. Step 4: Simplify right side
    209,864.40x = 52,139,005,346.16
  5. Step 5: Solve for x
    x = 52,139,005,346.16/209,864.40
  6. Step 6: Final answer
    x = 248,441.40

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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.