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Finding the Fourth Proportional to 550,312.36, 825,330 and 213,237.34

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Solution

The fourth proportional to 550,312.36, 825,330 and 213,237.34 is: 319,802.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,312.36 : 825,330 = 213,237.34 : x
  2. Step 2: Convert to fraction form
    550,312.36/825,330 = 213,237.34/x
  3. Step 3: Cross multiply
    550,312.36x = 825,330 × 213,237.34
  4. Step 4: Simplify right side
    550,312.36x = 175,991,173,822.20
  5. Step 5: Solve for x
    x = 175,991,173,822.20/550,312.36
  6. Step 6: Final answer
    x = 319,802.33

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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.