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Finding the Fourth Proportional to 257,466.84, 355,316.44 and 160,728

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Solution

The fourth proportional to 257,466.84, 355,316.44 and 160,728 is: 221,812.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,466.84 : 355,316.44 = 160,728 : x
  2. Step 2: Convert to fraction form
    257,466.84/355,316.44 = 160,728/x
  3. Step 3: Cross multiply
    257,466.84x = 355,316.44 × 160,728
  4. Step 4: Simplify right side
    257,466.84x = 57,109,300,768.32
  5. Step 5: Solve for x
    x = 57,109,300,768.32/257,466.84
  6. Step 6: Final answer
    x = 221,812.26

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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.