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Finding the Fourth Proportional to 369,871.21, 510,417.23 and 206,530.24

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Solution

The fourth proportional to 369,871.21, 510,417.23 and 206,530.24 is: 285,008.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,871.21 : 510,417.23 = 206,530.24 : x
  2. Step 2: Convert to fraction form
    369,871.21/510,417.23 = 206,530.24/x
  3. Step 3: Cross multiply
    369,871.21x = 510,417.23 × 206,530.24
  4. Step 4: Simplify right side
    369,871.21x = 105,416,591,219.67
  5. Step 5: Solve for x
    x = 105,416,591,219.67/369,871.21
  6. Step 6: Final answer
    x = 285,008.91

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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.