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Finding the Fourth Proportional to 559,121.26, 771,619.74 and 421,053

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Solution

The fourth proportional to 559,121.26, 771,619.74 and 421,053 is: 581,077.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,121.26 : 771,619.74 = 421,053 : x
  2. Step 2: Convert to fraction form
    559,121.26/771,619.74 = 421,053/x
  3. Step 3: Cross multiply
    559,121.26x = 771,619.74 × 421,053
  4. Step 4: Simplify right side
    559,121.26x = 324,892,806,386.22
  5. Step 5: Solve for x
    x = 324,892,806,386.22/559,121.26
  6. Step 6: Final answer
    x = 581,077.54

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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.