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Finding the Fourth Proportional to 257,977.62, 355,989.60 and 144,778.50

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Solution

The fourth proportional to 257,977.62, 355,989.60 and 144,778.50 is: 199,783.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,977.62 : 355,989.60 = 144,778.50 : x
  2. Step 2: Convert to fraction form
    257,977.62/355,989.60 = 144,778.50/x
  3. Step 3: Cross multiply
    257,977.62x = 355,989.60 × 144,778.50
  4. Step 4: Simplify right side
    257,977.62x = 51,539,640,303.60
  5. Step 5: Solve for x
    x = 51,539,640,303.60/257,977.62
  6. Step 6: Final answer
    x = 199,783.38

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1.5x scale

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.