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Finding the Fourth Proportional to 428,168.16, 590,311.92 and 368,381.02

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Solution

The fourth proportional to 428,168.16, 590,311.92 and 368,381.02 is: 507,883.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,168.16 : 590,311.92 = 368,381.02 : x
  2. Step 2: Convert to fraction form
    428,168.16/590,311.92 = 368,381.02/x
  3. Step 3: Cross multiply
    428,168.16x = 590,311.92 × 368,381.02
  4. Step 4: Simplify right side
    428,168.16x = 217,459,707,207.76
  5. Step 5: Solve for x
    x = 217,459,707,207.76/428,168.16
  6. Step 6: Final answer
    x = 507,883.88

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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.