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Finding the Fourth Proportional to 257,287.25, 355,056.41 and 156,685.25

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Solution

The fourth proportional to 257,287.25, 355,056.41 and 156,685.25 is: 216,225.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,287.25 : 355,056.41 = 156,685.25 : x
  2. Step 2: Convert to fraction form
    257,287.25/355,056.41 = 156,685.25/x
  3. Step 3: Cross multiply
    257,287.25x = 355,056.41 × 156,685.25
  4. Step 4: Simplify right side
    257,287.25x = 55,632,101,581.53
  5. Step 5: Solve for x
    x = 55,632,101,581.53/257,287.25
  6. Step 6: Final answer
    x = 216,225.65

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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.