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Finding the Fourth Proportional to 878,258, 1,317,391.14 and 271,038.86

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Solution

The fourth proportional to 878,258, 1,317,391.14 and 271,038.86 is: 406,559.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,258 : 1,317,391.14 = 271,038.86 : x
  2. Step 2: Convert to fraction form
    878,258/1,317,391.14 = 271,038.86/x
  3. Step 3: Cross multiply
    878,258x = 1,317,391.14 × 271,038.86
  4. Step 4: Simplify right side
    878,258x = 357,064,192,759.70
  5. Step 5: Solve for x
    x = 357,064,192,759.70/878,258
  6. Step 6: Final answer
    x = 406,559.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.