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Finding the Fourth Proportional to 515,178.94, 710,983.29 and 285,809.62

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Solution

The fourth proportional to 515,178.94, 710,983.29 and 285,809.62 is: 394,437.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,178.94 : 710,983.29 = 285,809.62 : x
  2. Step 2: Convert to fraction form
    515,178.94/710,983.29 = 285,809.62/x
  3. Step 3: Cross multiply
    515,178.94x = 710,983.29 × 285,809.62
  4. Step 4: Simplify right side
    515,178.94x = 203,205,863,941.25
  5. Step 5: Solve for x
    x = 203,205,863,941.25/515,178.94
  6. Step 6: Final answer
    x = 394,437.44

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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.