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Finding the Fourth Proportional to 314,113.64, 471,175.44 and 77,456.38

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Solution

The fourth proportional to 314,113.64, 471,175.44 and 77,456.38 is: 116,185.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,113.64 : 471,175.44 = 77,456.38 : x
  2. Step 2: Convert to fraction form
    314,113.64/471,175.44 = 77,456.38/x
  3. Step 3: Cross multiply
    314,113.64x = 471,175.44 × 77,456.38
  4. Step 4: Simplify right side
    314,113.64x = 36,495,543,927.31
  5. Step 5: Solve for x
    x = 36,495,543,927.31/314,113.64
  6. Step 6: Final answer
    x = 116,185.80

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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.