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Finding the Fourth Proportional to 314,479.58, 471,605.16 and 136,943.78

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Solution

The fourth proportional to 314,479.58, 471,605.16 and 136,943.78 is: 205,365.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,479.58 : 471,605.16 = 136,943.78 : x
  2. Step 2: Convert to fraction form
    314,479.58/471,605.16 = 136,943.78/x
  3. Step 3: Cross multiply
    314,479.58x = 471,605.16 × 136,943.78
  4. Step 4: Simplify right side
    314,479.58x = 64,583,393,277.90
  5. Step 5: Solve for x
    x = 64,583,393,277.90/314,479.58
  6. Step 6: Final answer
    x = 205,365.94

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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.