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Finding the Fourth Proportional to 428,343.84, 591,089.44 and 237,345.76

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Solution

The fourth proportional to 428,343.84, 591,089.44 and 237,345.76 is: 327,523.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,343.84 : 591,089.44 = 237,345.76 : x
  2. Step 2: Convert to fraction form
    428,343.84/591,089.44 = 237,345.76/x
  3. Step 3: Cross multiply
    428,343.84x = 591,089.44 × 237,345.76
  4. Step 4: Simplify right side
    428,343.84x = 140,292,572,364.77
  5. Step 5: Solve for x
    x = 140,292,572,364.77/428,343.84
  6. Step 6: Final answer
    x = 327,523.26

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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.