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Finding the Fourth Proportional to 338,365.50, 507,582.54 and 125,189.70

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Solution

The fourth proportional to 338,365.50, 507,582.54 and 125,189.70 is: 187,797.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,365.50 : 507,582.54 = 125,189.70 : x
  2. Step 2: Convert to fraction form
    338,365.50/507,582.54 = 125,189.70/x
  3. Step 3: Cross multiply
    338,365.50x = 507,582.54 × 125,189.70
  4. Step 4: Simplify right side
    338,365.50x = 63,544,105,907.84
  5. Step 5: Solve for x
    x = 63,544,105,907.84/338,365.50
  6. Step 6: Final answer
    x = 187,797.24

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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.