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Finding the Fourth Proportional to 559,141.24, 771,647.34 and 421,073

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Solution

The fourth proportional to 559,141.24, 771,647.34 and 421,073 is: 581,105.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,141.24 : 771,647.34 = 421,073 : x
  2. Step 2: Convert to fraction form
    559,141.24/771,647.34 = 421,073/x
  3. Step 3: Cross multiply
    559,141.24x = 771,647.34 × 421,073
  4. Step 4: Simplify right side
    559,141.24x = 324,919,860,395.82
  5. Step 5: Solve for x
    x = 324,919,860,395.82/559,141.24
  6. Step 6: Final answer
    x = 581,105.16

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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.