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Finding the Fourth Proportional to 338,701.37, 507,957.26 and 102,009.65

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Solution

The fourth proportional to 338,701.37, 507,957.26 and 102,009.65 is: 152,985.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,701.37 : 507,957.26 = 102,009.65 : x
  2. Step 2: Convert to fraction form
    338,701.37/507,957.26 = 102,009.65/x
  3. Step 3: Cross multiply
    338,701.37x = 507,957.26 × 102,009.65
  4. Step 4: Simplify right side
    338,701.37x = 51,816,539,257.72
  5. Step 5: Solve for x
    x = 51,816,539,257.72/338,701.37
  6. Step 6: Final answer
    x = 152,985.92

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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.