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Finding the Fourth Proportional to 317,311.58, 476,092 and 139,693.98

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Solution

The fourth proportional to 317,311.58, 476,092 and 139,693.98 is: 209,595.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,311.58 : 476,092 = 139,693.98 : x
  2. Step 2: Convert to fraction form
    317,311.58/476,092 = 139,693.98/x
  3. Step 3: Cross multiply
    317,311.58x = 476,092 × 139,693.98
  4. Step 4: Simplify right side
    317,311.58x = 66,507,186,326.16
  5. Step 5: Solve for x
    x = 66,507,186,326.16/317,311.58
  6. Step 6: Final answer
    x = 209,595.84

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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.