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Finding the Fourth Proportional to 515,208, 710,852.48 and 297,363.36

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Solution

The fourth proportional to 515,208, 710,852.48 and 297,363.36 is: 410,283.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,208 : 710,852.48 = 297,363.36 : x
  2. Step 2: Convert to fraction form
    515,208/710,852.48 = 297,363.36/x
  3. Step 3: Cross multiply
    515,208x = 710,852.48 × 297,363.36
  4. Step 4: Simplify right side
    515,208x = 211,381,481,917.13
  5. Step 5: Solve for x
    x = 211,381,481,917.13/515,208
  6. Step 6: Final answer
    x = 410,283.77

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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.