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Finding the Fourth Proportional to 314,980.57, 472,692.29 and 284,865.58

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Solution

The fourth proportional to 314,980.57, 472,692.29 and 284,865.58 is: 427,498.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,980.57 : 472,692.29 = 284,865.58 : x
  2. Step 2: Convert to fraction form
    314,980.57/472,692.29 = 284,865.58/x
  3. Step 3: Cross multiply
    314,980.57x = 472,692.29 × 284,865.58
  4. Step 4: Simplify right side
    314,980.57x = 134,653,761,462.39
  5. Step 5: Solve for x
    x = 134,653,761,462.39/314,980.57
  6. Step 6: Final answer
    x = 427,498.63

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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.