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Finding the Fourth Proportional to 257,603.96, 355,494.71 and 142,874.64

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Solution

The fourth proportional to 257,603.96, 355,494.71 and 142,874.64 is: 197,167.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,603.96 : 355,494.71 = 142,874.64 : x
  2. Step 2: Convert to fraction form
    257,603.96/355,494.71 = 142,874.64/x
  3. Step 3: Cross multiply
    257,603.96x = 355,494.71 × 142,874.64
  4. Step 4: Simplify right side
    257,603.96x = 50,791,179,070.34
  5. Step 5: Solve for x
    x = 50,791,179,070.34/257,603.96
  6. Step 6: Final answer
    x = 197,167.69

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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.