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Finding the Fourth Proportional to 209,859.30, 314,673.53 and 143,374.50

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Solution

The fourth proportional to 209,859.30, 314,673.53 and 143,374.50 is: 214,982.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,859.30 : 314,673.53 = 143,374.50 : x
  2. Step 2: Convert to fraction form
    209,859.30/314,673.53 = 143,374.50/x
  3. Step 3: Cross multiply
    209,859.30x = 314,673.53 × 143,374.50
  4. Step 4: Simplify right side
    209,859.30x = 45,116,159,310.11
  5. Step 5: Solve for x
    x = 45,116,159,310.11/209,859.30
  6. Step 6: Final answer
    x = 214,982.89

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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.