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Finding the Fourth Proportional to 516,544.21, 712,888.73 and 312,707.44

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Solution

The fourth proportional to 516,544.21, 712,888.73 and 312,707.44 is: 431,571.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,544.21 : 712,888.73 = 312,707.44 : x
  2. Step 2: Convert to fraction form
    516,544.21/712,888.73 = 312,707.44/x
  3. Step 3: Cross multiply
    516,544.21x = 712,888.73 × 312,707.44
  4. Step 4: Simplify right side
    516,544.21x = 222,925,609,763.15
  5. Step 5: Solve for x
    x = 222,925,609,763.15/516,544.21
  6. Step 6: Final answer
    x = 431,571.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.