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Finding the Fourth Proportional to 281,872.64, 388,981.28 and 154,547.92

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Solution

The fourth proportional to 281,872.64, 388,981.28 and 154,547.92 is: 213,274.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,872.64 : 388,981.28 = 154,547.92 : x
  2. Step 2: Convert to fraction form
    281,872.64/388,981.28 = 154,547.92/x
  3. Step 3: Cross multiply
    281,872.64x = 388,981.28 × 154,547.92
  4. Step 4: Simplify right side
    281,872.64x = 60,116,247,742.94
  5. Step 5: Solve for x
    x = 60,116,247,742.94/281,872.64
  6. Step 6: Final answer
    x = 213,274.50

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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.