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Finding the Fourth Proportional to 387,114.16, 580,754.24 and 134,402.64

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Solution

The fourth proportional to 387,114.16, 580,754.24 and 134,402.64 is: 201,632.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,114.16 : 580,754.24 = 134,402.64 : x
  2. Step 2: Convert to fraction form
    387,114.16/580,754.24 = 134,402.64/x
  3. Step 3: Cross multiply
    387,114.16x = 580,754.24 × 134,402.64
  4. Step 4: Simplify right side
    387,114.16x = 78,054,903,047.19
  5. Step 5: Solve for x
    x = 78,054,903,047.19/387,114.16
  6. Step 6: Final answer
    x = 201,632.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.