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Finding the Fourth Proportional to 705,849, 974,071.62 and 387,897

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Solution

The fourth proportional to 705,849, 974,071.62 and 387,897 is: 535,297.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,849 : 974,071.62 = 387,897 : x
  2. Step 2: Convert to fraction form
    705,849/974,071.62 = 387,897/x
  3. Step 3: Cross multiply
    705,849x = 974,071.62 × 387,897
  4. Step 4: Simplify right side
    705,849x = 377,839,459,183.14
  5. Step 5: Solve for x
    x = 377,839,459,183.14/705,849
  6. Step 6: Final answer
    x = 535,297.86

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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.