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Finding the Fourth Proportional to 652,674.50, 900,747.81 and 380,829.98

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Solution

The fourth proportional to 652,674.50, 900,747.81 and 380,829.98 is: 525,578.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,674.50 : 900,747.81 = 380,829.98 : x
  2. Step 2: Convert to fraction form
    652,674.50/900,747.81 = 380,829.98/x
  3. Step 3: Cross multiply
    652,674.50x = 900,747.81 × 380,829.98
  4. Step 4: Simplify right side
    652,674.50x = 343,031,770,467.34
  5. Step 5: Solve for x
    x = 343,031,770,467.34/652,674.50
  6. Step 6: Final answer
    x = 525,578.63

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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.