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Finding the Fourth Proportional to 380,353.50, 524,895.84 and 208,278.72

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Solution

The fourth proportional to 380,353.50, 524,895.84 and 208,278.72 is: 287,429.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,353.50 : 524,895.84 = 208,278.72 : x
  2. Step 2: Convert to fraction form
    380,353.50/524,895.84 = 208,278.72/x
  3. Step 3: Cross multiply
    380,353.50x = 524,895.84 × 208,278.72
  4. Step 4: Simplify right side
    380,353.50x = 109,324,633,688.53
  5. Step 5: Solve for x
    x = 109,324,633,688.53/380,353.50
  6. Step 6: Final answer
    x = 287,429.02

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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.