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Finding the Fourth Proportional to 555,212.81, 766,193.93 and 300,564

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Solution

The fourth proportional to 555,212.81, 766,193.93 and 300,564 is: 414,778.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,212.81 : 766,193.93 = 300,564 : x
  2. Step 2: Convert to fraction form
    555,212.81/766,193.93 = 300,564/x
  3. Step 3: Cross multiply
    555,212.81x = 766,193.93 × 300,564
  4. Step 4: Simplify right side
    555,212.81x = 230,290,312,376.52
  5. Step 5: Solve for x
    x = 230,290,312,376.52/555,212.81
  6. Step 6: Final answer
    x = 414,778.46

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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.