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Finding the Fourth Proportional to 515,239.96, 710,896.62 and 297,395.32

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Solution

The fourth proportional to 515,239.96, 710,896.62 and 297,395.32 is: 410,327.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,239.96 : 710,896.62 = 297,395.32 : x
  2. Step 2: Convert to fraction form
    515,239.96/710,896.62 = 297,395.32/x
  3. Step 3: Cross multiply
    515,239.96x = 710,896.62 × 297,395.32
  4. Step 4: Simplify right side
    515,239.96x = 211,417,327,791.82
  5. Step 5: Solve for x
    x = 211,417,327,791.82/515,239.96
  6. Step 6: Final answer
    x = 410,327.89

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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.