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Finding the Fourth Proportional to 535,374.56, 738,816.90 and 309,020.06

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Solution

The fourth proportional to 535,374.56, 738,816.90 and 309,020.06 is: 426,447.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,374.56 : 738,816.90 = 309,020.06 : x
  2. Step 2: Convert to fraction form
    535,374.56/738,816.90 = 309,020.06/x
  3. Step 3: Cross multiply
    535,374.56x = 738,816.90 × 309,020.06
  4. Step 4: Simplify right side
    535,374.56x = 228,309,243,455.23
  5. Step 5: Solve for x
    x = 228,309,243,455.23/535,374.56
  6. Step 6: Final answer
    x = 426,447.69

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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.