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Finding the Fourth Proportional to 281,664, 388,696.32 and 162,432

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Solution

The fourth proportional to 281,664, 388,696.32 and 162,432 is: 224,156.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,664 : 388,696.32 = 162,432 : x
  2. Step 2: Convert to fraction form
    281,664/388,696.32 = 162,432/x
  3. Step 3: Cross multiply
    281,664x = 388,696.32 × 162,432
  4. Step 4: Simplify right side
    281,664x = 63,136,720,650.24
  5. Step 5: Solve for x
    x = 63,136,720,650.24/281,664
  6. Step 6: Final answer
    x = 224,156.16

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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.