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Finding the Fourth Proportional to 309,600, 427,339.20 and 202,186.56

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Solution

The fourth proportional to 309,600, 427,339.20 and 202,186.56 is: 279,077.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,600 : 427,339.20 = 202,186.56 : x
  2. Step 2: Convert to fraction form
    309,600/427,339.20 = 202,186.56/x
  3. Step 3: Cross multiply
    309,600x = 427,339.20 × 202,186.56
  4. Step 4: Simplify right side
    309,600x = 86,402,242,801.15
  5. Step 5: Solve for x
    x = 86,402,242,801.15/309,600
  6. Step 6: Final answer
    x = 279,077.01

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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.