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Finding the Fourth Proportional to 314,990.53, 431,209.28 and 312,739.27

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Solution

The fourth proportional to 314,990.53, 431,209.28 and 312,739.27 is: 428,127.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,990.53 : 431,209.28 = 312,739.27 : x
  2. Step 2: Convert to fraction form
    314,990.53/431,209.28 = 312,739.27/x
  3. Step 3: Cross multiply
    314,990.53x = 431,209.28 × 312,739.27
  4. Step 4: Simplify right side
    314,990.53x = 134,856,075,148.25
  5. Step 5: Solve for x
    x = 134,856,075,148.25/314,990.53
  6. Step 6: Final answer
    x = 428,127.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.