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Finding the Fourth Proportional to 281,178.21, 388,024.32 and 152,116.32

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Solution

The fourth proportional to 281,178.21, 388,024.32 and 152,116.32 is: 209,919.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,178.21 : 388,024.32 = 152,116.32 : x
  2. Step 2: Convert to fraction form
    281,178.21/388,024.32 = 152,116.32/x
  3. Step 3: Cross multiply
    281,178.21x = 388,024.32 × 152,116.32
  4. Step 4: Simplify right side
    281,178.21x = 59,024,831,628.90
  5. Step 5: Solve for x
    x = 59,024,831,628.90/281,178.21
  6. Step 6: Final answer
    x = 209,919.65

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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.