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Finding the Fourth Proportional to 338,794.65, 507,929.54 and 196,420.95

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Solution

The fourth proportional to 338,794.65, 507,929.54 and 196,420.95 is: 294,479.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,794.65 : 507,929.54 = 196,420.95 : x
  2. Step 2: Convert to fraction form
    338,794.65/507,929.54 = 196,420.95/x
  3. Step 3: Cross multiply
    338,794.65x = 507,929.54 × 196,420.95
  4. Step 4: Simplify right side
    338,794.65x = 99,768,001,797.76
  5. Step 5: Solve for x
    x = 99,768,001,797.76/338,794.65
  6. Step 6: Final answer
    x = 294,479.27

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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.