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Finding the Fourth Proportional to 369,731.64, 510,229.64 and 199,965.76

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Solution

The fourth proportional to 369,731.64, 510,229.64 and 199,965.76 is: 275,952.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,731.64 : 510,229.64 = 199,965.76 : x
  2. Step 2: Convert to fraction form
    369,731.64/510,229.64 = 199,965.76/x
  3. Step 3: Cross multiply
    369,731.64x = 510,229.64 × 199,965.76
  4. Step 4: Simplify right side
    369,731.64x = 102,028,457,737.13
  5. Step 5: Solve for x
    x = 102,028,457,737.13/369,731.64
  6. Step 6: Final answer
    x = 275,952.74

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1.5x scale

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.