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Finding the Fourth Proportional to 585,837, 878,755.68 and 142,605

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Solution

The fourth proportional to 585,837, 878,755.68 and 142,605 is: 213,907.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,837 : 878,755.68 = 142,605 : x
  2. Step 2: Convert to fraction form
    585,837/878,755.68 = 142,605/x
  3. Step 3: Cross multiply
    585,837x = 878,755.68 × 142,605
  4. Step 4: Simplify right side
    585,837x = 125,314,953,746.40
  5. Step 5: Solve for x
    x = 125,314,953,746.40/585,837
  6. Step 6: Final answer
    x = 213,907.54

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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.