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Finding the Fourth Proportional to 405,083.54, 607,230.38 and 161,852.10

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Solution

The fourth proportional to 405,083.54, 607,230.38 and 161,852.10 is: 242,620.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,083.54 : 607,230.38 = 161,852.10 : x
  2. Step 2: Convert to fraction form
    405,083.54/607,230.38 = 161,852.10/x
  3. Step 3: Cross multiply
    405,083.54x = 607,230.38 × 161,852.10
  4. Step 4: Simplify right side
    405,083.54x = 98,281,514,767.38
  5. Step 5: Solve for x
    x = 98,281,514,767.38/405,083.54
  6. Step 6: Final answer
    x = 242,620.36

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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.