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Finding the Fourth Proportional to 559,782.23, 772,499.52 and 305,133.39

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Solution

The fourth proportional to 559,782.23, 772,499.52 and 305,133.39 is: 421,084.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,782.23 : 772,499.52 = 305,133.39 : x
  2. Step 2: Convert to fraction form
    559,782.23/772,499.52 = 305,133.39/x
  3. Step 3: Cross multiply
    559,782.23x = 772,499.52 × 305,133.39
  4. Step 4: Simplify right side
    559,782.23x = 235,715,397,310.97
  5. Step 5: Solve for x
    x = 235,715,397,310.97/559,782.23
  6. Step 6: Final answer
    x = 421,084.11

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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.