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Finding the Fourth Proportional to 570,023.91, 786,620.87 and 311,899.82

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Solution

The fourth proportional to 570,023.91, 786,620.87 and 311,899.82 is: 430,415.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,023.91 : 786,620.87 = 311,899.82 : x
  2. Step 2: Convert to fraction form
    570,023.91/786,620.87 = 311,899.82/x
  3. Step 3: Cross multiply
    570,023.91x = 786,620.87 × 311,899.82
  4. Step 4: Simplify right side
    570,023.91x = 245,346,902,268.64
  5. Step 5: Solve for x
    x = 245,346,902,268.64/570,023.91
  6. Step 6: Final answer
    x = 430,415.11

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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.