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Finding the Fourth Proportional to 376,981.84, 520,231.88 and 207,214.16

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Solution

The fourth proportional to 376,981.84, 520,231.88 and 207,214.16 is: 285,953.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,981.84 : 520,231.88 = 207,214.16 : x
  2. Step 2: Convert to fraction form
    376,981.84/520,231.88 = 207,214.16/x
  3. Step 3: Cross multiply
    376,981.84x = 520,231.88 × 207,214.16
  4. Step 4: Simplify right side
    376,981.84x = 107,799,412,019.42
  5. Step 5: Solve for x
    x = 107,799,412,019.42/376,981.84
  6. Step 6: Final answer
    x = 285,953.86

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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.