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Finding the Fourth Proportional to 550,098.30, 824,987.38 and 213,063.78

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Solution

The fourth proportional to 550,098.30, 824,987.38 and 213,063.78 is: 319,533.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,098.30 : 824,987.38 = 213,063.78 : x
  2. Step 2: Convert to fraction form
    550,098.30/824,987.38 = 213,063.78/x
  3. Step 3: Cross multiply
    550,098.30x = 824,987.38 × 213,063.78
  4. Step 4: Simplify right side
    550,098.30x = 175,774,932,595.63
  5. Step 5: Solve for x
    x = 175,774,932,595.63/550,098.30
  6. Step 6: Final answer
    x = 319,533.67

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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.