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Finding the Fourth Proportional to 257,310.21, 355,106.78 and 155,360.46

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Solution

The fourth proportional to 257,310.21, 355,106.78 and 155,360.46 is: 214,408.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,310.21 : 355,106.78 = 155,360.46 : x
  2. Step 2: Convert to fraction form
    257,310.21/355,106.78 = 155,360.46/x
  3. Step 3: Cross multiply
    257,310.21x = 355,106.78 × 155,360.46
  4. Step 4: Simplify right side
    257,310.21x = 55,169,551,913.12
  5. Step 5: Solve for x
    x = 55,169,551,913.12/257,310.21
  6. Step 6: Final answer
    x = 214,408.72

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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.