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Finding the Fourth Proportional to 400,782.54, 553,454.55 and 257,790.81

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Solution

The fourth proportional to 400,782.54, 553,454.55 and 257,790.81 is: 355,992.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,782.54 : 553,454.55 = 257,790.81 : x
  2. Step 2: Convert to fraction form
    400,782.54/553,454.55 = 257,790.81/x
  3. Step 3: Cross multiply
    400,782.54x = 553,454.55 × 257,790.81
  4. Step 4: Simplify right side
    400,782.54x = 142,675,496,742.69
  5. Step 5: Solve for x
    x = 142,675,496,742.69/400,782.54
  6. Step 6: Final answer
    x = 355,992.30

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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.