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Finding the Fourth Proportional to 505,807.34, 698,087.22 and 301,866.90

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Solution

The fourth proportional to 505,807.34, 698,087.22 and 301,866.90 is: 416,619.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,807.34 : 698,087.22 = 301,866.90 : x
  2. Step 2: Convert to fraction form
    505,807.34/698,087.22 = 301,866.90/x
  3. Step 3: Cross multiply
    505,807.34x = 698,087.22 × 301,866.90
  4. Step 4: Simplify right side
    505,807.34x = 210,729,425,031.02
  5. Step 5: Solve for x
    x = 210,729,425,031.02/505,807.34
  6. Step 6: Final answer
    x = 416,619.94

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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.