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Finding the Fourth Proportional to 369,871.21, 510,420.13 and 200,101.69

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Solution

The fourth proportional to 369,871.21, 510,420.13 and 200,101.69 is: 276,139.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,871.21 : 510,420.13 = 200,101.69 : x
  2. Step 2: Convert to fraction form
    369,871.21/510,420.13 = 200,101.69/x
  3. Step 3: Cross multiply
    369,871.21x = 510,420.13 × 200,101.69
  4. Step 4: Simplify right side
    369,871.21x = 102,135,931,886.36
  5. Step 5: Solve for x
    x = 102,135,931,886.36/369,871.21
  6. Step 6: Final answer
    x = 276,139.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.