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Finding the Fourth Proportional to 401,157.45, 553,524.71 and 257,884.65

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Solution

The fourth proportional to 401,157.45, 553,524.71 and 257,884.65 is: 355,834.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,157.45 : 553,524.71 = 257,884.65 : x
  2. Step 2: Convert to fraction form
    401,157.45/553,524.71 = 257,884.65/x
  3. Step 3: Cross multiply
    401,157.45x = 553,524.71 × 257,884.65
  4. Step 4: Simplify right side
    401,157.45x = 142,745,524,815.28
  5. Step 5: Solve for x
    x = 142,745,524,815.28/401,157.45
  6. Step 6: Final answer
    x = 355,834.16

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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.