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Finding the Fourth Proportional to 314,235.87, 471,354.77 and 77,578.57

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Solution

The fourth proportional to 314,235.87, 471,354.77 and 77,578.57 is: 116,368.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,235.87 : 471,354.77 = 77,578.57 : x
  2. Step 2: Convert to fraction form
    314,235.87/471,354.77 = 77,578.57/x
  3. Step 3: Cross multiply
    314,235.87x = 471,354.77 × 77,578.57
  4. Step 4: Simplify right side
    314,235.87x = 36,567,029,511.50
  5. Step 5: Solve for x
    x = 36,567,029,511.50/314,235.87
  6. Step 6: Final answer
    x = 116,368.10

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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.