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Finding the Fourth Proportional to 405,215.40, 607,021.20 and 355,351.80

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Solution

The fourth proportional to 405,215.40, 607,021.20 and 355,351.80 is: 532,324.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,215.40 : 607,021.20 = 355,351.80 : x
  2. Step 2: Convert to fraction form
    405,215.40/607,021.20 = 355,351.80/x
  3. Step 3: Cross multiply
    405,215.40x = 607,021.20 × 355,351.80
  4. Step 4: Simplify right side
    405,215.40x = 215,706,076,058.16
  5. Step 5: Solve for x
    x = 215,706,076,058.16/405,215.40
  6. Step 6: Final answer
    x = 532,324.48

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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.