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Finding the Fourth Proportional to 421,134.86, 581,165.16 and 239,846.78

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Solution

The fourth proportional to 421,134.86, 581,165.16 and 239,846.78 is: 330,988.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,134.86 : 581,165.16 = 239,846.78 : x
  2. Step 2: Convert to fraction form
    421,134.86/581,165.16 = 239,846.78/x
  3. Step 3: Cross multiply
    421,134.86x = 581,165.16 × 239,846.78
  4. Step 4: Simplify right side
    421,134.86x = 139,390,592,274.19
  5. Step 5: Solve for x
    x = 139,390,592,274.19/421,134.86
  6. Step 6: Final answer
    x = 330,988.02

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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.