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Finding the Fourth Proportional to 395,430.56, 592,284.56 and 205,317.38

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Solution

The fourth proportional to 395,430.56, 592,284.56 and 205,317.38 is: 307,528.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,430.56 : 592,284.56 = 205,317.38 : x
  2. Step 2: Convert to fraction form
    395,430.56/592,284.56 = 205,317.38/x
  3. Step 3: Cross multiply
    395,430.56x = 592,284.56 × 205,317.38
  4. Step 4: Simplify right side
    395,430.56x = 121,606,314,527.78
  5. Step 5: Solve for x
    x = 121,606,314,527.78/395,430.56
  6. Step 6: Final answer
    x = 307,528.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.