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Finding the Fourth Proportional to 380,366.84, 524,912.70 and 208,282.07

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Solution

The fourth proportional to 380,366.84, 524,912.70 and 208,282.07 is: 287,432.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,366.84 : 524,912.70 = 208,282.07 : x
  2. Step 2: Convert to fraction form
    380,366.84/524,912.70 = 208,282.07/x
  3. Step 3: Cross multiply
    380,366.84x = 524,912.70 × 208,282.07
  4. Step 4: Simplify right side
    380,366.84x = 109,329,900,319.67
  5. Step 5: Solve for x
    x = 109,329,900,319.67/380,366.84
  6. Step 6: Final answer
    x = 287,432.78

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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.