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Finding the Fourth Proportional to 257,795.40, 355,884.66 and 162,448.68

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Solution

The fourth proportional to 257,795.40, 355,884.66 and 162,448.68 is: 224,259.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,795.40 : 355,884.66 = 162,448.68 : x
  2. Step 2: Convert to fraction form
    257,795.40/355,884.66 = 162,448.68/x
  3. Step 3: Cross multiply
    257,795.40x = 355,884.66 × 162,448.68
  4. Step 4: Simplify right side
    257,795.40x = 57,812,993,249.25
  5. Step 5: Solve for x
    x = 57,812,993,249.25/257,795.40
  6. Step 6: Final answer
    x = 224,259.21

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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.