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Finding the Fourth Proportional to 284,701.44, 392,872.32 and 157,368.72

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Solution

The fourth proportional to 284,701.44, 392,872.32 and 157,368.72 is: 217,160.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,701.44 : 392,872.32 = 157,368.72 : x
  2. Step 2: Convert to fraction form
    284,701.44/392,872.32 = 157,368.72/x
  3. Step 3: Cross multiply
    284,701.44x = 392,872.32 × 157,368.72
  4. Step 4: Simplify right side
    284,701.44x = 61,825,814,121.83
  5. Step 5: Solve for x
    x = 61,825,814,121.83/284,701.44
  6. Step 6: Final answer
    x = 217,160.17

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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.