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Finding the Fourth Proportional to 550,303.48, 825,316.62 and 213,228.28

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Solution

The fourth proportional to 550,303.48, 825,316.62 and 213,228.28 is: 319,788.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,303.48 : 825,316.62 = 213,228.28 : x
  2. Step 2: Convert to fraction form
    550,303.48/825,316.62 = 213,228.28/x
  3. Step 3: Cross multiply
    550,303.48x = 825,316.62 × 213,228.28
  4. Step 4: Simplify right side
    550,303.48x = 175,980,843,338.01
  5. Step 5: Solve for x
    x = 175,980,843,338.01/550,303.48
  6. Step 6: Final answer
    x = 319,788.72

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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.