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Finding the Fourth Proportional to 501,756.31, 692,162.16 and 308,207.64

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Solution

The fourth proportional to 501,756.31, 692,162.16 and 308,207.64 is: 425,165.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,756.31 : 692,162.16 = 308,207.64 : x
  2. Step 2: Convert to fraction form
    501,756.31/692,162.16 = 308,207.64/x
  3. Step 3: Cross multiply
    501,756.31x = 692,162.16 × 308,207.64
  4. Step 4: Simplify right side
    501,756.31x = 213,329,667,270.73
  5. Step 5: Solve for x
    x = 213,329,667,270.73/501,756.31
  6. Step 6: Final answer
    x = 425,165.89

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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.