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Finding the Fourth Proportional to 515,229.21, 710,881.79 and 297,384.57

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Solution

The fourth proportional to 515,229.21, 710,881.79 and 297,384.57 is: 410,313.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,229.21 : 710,881.79 = 297,384.57 : x
  2. Step 2: Convert to fraction form
    515,229.21/710,881.79 = 297,384.57/x
  3. Step 3: Cross multiply
    515,229.21x = 710,881.79 × 297,384.57
  4. Step 4: Simplify right side
    515,229.21x = 211,405,273,953.06
  5. Step 5: Solve for x
    x = 211,405,273,953.06/515,229.21
  6. Step 6: Final answer
    x = 410,313.06

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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.