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Finding the Fourth Proportional to 547,291.34, 755,254.89 and 305,578.02

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Solution

The fourth proportional to 547,291.34, 755,254.89 and 305,578.02 is: 421,693.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,291.34 : 755,254.89 = 305,578.02 : x
  2. Step 2: Convert to fraction form
    547,291.34/755,254.89 = 305,578.02/x
  3. Step 3: Cross multiply
    547,291.34x = 755,254.89 × 305,578.02
  4. Step 4: Simplify right side
    547,291.34x = 230,789,293,881.52
  5. Step 5: Solve for x
    x = 230,789,293,881.52/547,291.34
  6. Step 6: Final answer
    x = 421,693.67

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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.