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Finding the Fourth Proportional to 509,239.72, 763,854.72 and 309,615.16

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Solution

The fourth proportional to 509,239.72, 763,854.72 and 309,615.16 is: 464,419.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,239.72 : 763,854.72 = 309,615.16 : x
  2. Step 2: Convert to fraction form
    509,239.72/763,854.72 = 309,615.16/x
  3. Step 3: Cross multiply
    509,239.72x = 763,854.72 × 309,615.16
  4. Step 4: Simplify right side
    509,239.72x = 236,501,001,349.56
  5. Step 5: Solve for x
    x = 236,501,001,349.56/509,239.72
  6. Step 6: Final answer
    x = 464,419.79

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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.