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Finding the Fourth Proportional to 477,971.89, 716,710.88 and 140,969.63

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Solution

The fourth proportional to 477,971.89, 716,710.88 and 140,969.63 is: 211,381.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,971.89 : 716,710.88 = 140,969.63 : x
  2. Step 2: Convert to fraction form
    477,971.89/716,710.88 = 140,969.63/x
  3. Step 3: Cross multiply
    477,971.89x = 716,710.88 × 140,969.63
  4. Step 4: Simplify right side
    477,971.89x = 101,034,469,714.78
  5. Step 5: Solve for x
    x = 101,034,469,714.78/477,971.89
  6. Step 6: Final answer
    x = 211,381.62

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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.