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Finding the Fourth Proportional to 209,699.60, 314,856.60 and 147,645.20

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Solution

The fourth proportional to 209,699.60, 314,856.60 and 147,645.20 is: 221,684.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,699.60 : 314,856.60 = 147,645.20 : x
  2. Step 2: Convert to fraction form
    209,699.60/314,856.60 = 147,645.20/x
  3. Step 3: Cross multiply
    209,699.60x = 314,856.60 × 147,645.20
  4. Step 4: Simplify right side
    209,699.60x = 46,487,065,678.32
  5. Step 5: Solve for x
    x = 46,487,065,678.32/209,699.60
  6. Step 6: Final answer
    x = 221,684.09

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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.