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Finding the Fourth Proportional to 281,571.92, 388,566.16 and 152,507.19

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Solution

The fourth proportional to 281,571.92, 388,566.16 and 152,507.19 is: 210,458.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,571.92 : 388,566.16 = 152,507.19 : x
  2. Step 2: Convert to fraction form
    281,571.92/388,566.16 = 152,507.19/x
  3. Step 3: Cross multiply
    281,571.92x = 388,566.16 × 152,507.19
  4. Step 4: Simplify right side
    281,571.92x = 59,259,131,247.86
  5. Step 5: Solve for x
    x = 59,259,131,247.86/281,571.92
  6. Step 6: Final answer
    x = 210,458.24

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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.