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Finding the Fourth Proportional to 474,871.14, 712,300.77 and 190,687.50

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Solution

The fourth proportional to 474,871.14, 712,300.77 and 190,687.50 is: 286,028.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,871.14 : 712,300.77 = 190,687.50 : x
  2. Step 2: Convert to fraction form
    474,871.14/712,300.77 = 190,687.50/x
  3. Step 3: Cross multiply
    474,871.14x = 712,300.77 × 190,687.50
  4. Step 4: Simplify right side
    474,871.14x = 135,826,853,079.38
  5. Step 5: Solve for x
    x = 135,826,853,079.38/474,871.14
  6. Step 6: Final answer
    x = 286,028.86

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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.