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Finding the Fourth Proportional to 281,524.58, 388,503.34 and 152,462.65

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Solution

The fourth proportional to 281,524.58, 388,503.34 and 152,462.65 is: 210,398.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,524.58 : 388,503.34 = 152,462.65 : x
  2. Step 2: Convert to fraction form
    281,524.58/388,503.34 = 152,462.65/x
  3. Step 3: Cross multiply
    281,524.58x = 388,503.34 × 152,462.65
  4. Step 4: Simplify right side
    281,524.58x = 59,232,247,987.94
  5. Step 5: Solve for x
    x = 59,232,247,987.94/281,524.58
  6. Step 6: Final answer
    x = 210,398.14

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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.