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Finding the Fourth Proportional to 381,898, 527,019.52 and 209,827.06

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Solution

The fourth proportional to 381,898, 527,019.52 and 209,827.06 is: 289,561.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,898 : 527,019.52 = 209,827.06 : x
  2. Step 2: Convert to fraction form
    381,898/527,019.52 = 209,827.06/x
  3. Step 3: Cross multiply
    381,898x = 527,019.52 × 209,827.06
  4. Step 4: Simplify right side
    381,898x = 110,582,956,444.21
  5. Step 5: Solve for x
    x = 110,582,956,444.21/381,898
  6. Step 6: Final answer
    x = 289,561.50

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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.