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Finding the Fourth Proportional to 209,969.30, 314,838.30 and 143,484.50

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Solution

The fourth proportional to 209,969.30, 314,838.30 and 143,484.50 is: 215,147.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,969.30 : 314,838.30 = 143,484.50 : x
  2. Step 2: Convert to fraction form
    209,969.30/314,838.30 = 143,484.50/x
  3. Step 3: Cross multiply
    209,969.30x = 314,838.30 × 143,484.50
  4. Step 4: Simplify right side
    209,969.30x = 45,174,416,056.35
  5. Step 5: Solve for x
    x = 45,174,416,056.35/209,969.30
  6. Step 6: Final answer
    x = 215,147.72

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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.