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Finding the Fourth Proportional to 515,513.81, 773,017.70 and 211,852.91

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Solution

The fourth proportional to 515,513.81, 773,017.70 and 211,852.91 is: 317,675.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,513.81 : 773,017.70 = 211,852.91 : x
  2. Step 2: Convert to fraction form
    515,513.81/773,017.70 = 211,852.91/x
  3. Step 3: Cross multiply
    515,513.81x = 773,017.70 × 211,852.91
  4. Step 4: Simplify right side
    515,513.81x = 163,766,050,099.79
  5. Step 5: Solve for x
    x = 163,766,050,099.79/515,513.81
  6. Step 6: Final answer
    x = 317,675.39

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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.