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Finding the Fourth Proportional to 536,509.11, 740,380.46 and 307,065.47

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Solution

The fourth proportional to 536,509.11, 740,380.46 and 307,065.47 is: 423,749.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,509.11 : 740,380.46 = 307,065.47 : x
  2. Step 2: Convert to fraction form
    536,509.11/740,380.46 = 307,065.47/x
  3. Step 3: Cross multiply
    536,509.11x = 740,380.46 × 307,065.47
  4. Step 4: Simplify right side
    536,509.11x = 227,345,272,845.43
  5. Step 5: Solve for x
    x = 227,345,272,845.43/536,509.11
  6. Step 6: Final answer
    x = 423,749.14

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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.