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Finding the Fourth Proportional to 559,122.26, 771,621.12 and 421,054

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Solution

The fourth proportional to 559,122.26, 771,621.12 and 421,054 is: 581,078.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,122.26 : 771,621.12 = 421,054 : x
  2. Step 2: Convert to fraction form
    559,122.26/771,621.12 = 421,054/x
  3. Step 3: Cross multiply
    559,122.26x = 771,621.12 × 421,054
  4. Step 4: Simplify right side
    559,122.26x = 324,894,159,060.48
  5. Step 5: Solve for x
    x = 324,894,159,060.48/559,122.26
  6. Step 6: Final answer
    x = 581,078.92

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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.