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Finding the Fourth Proportional to 405,174.92, 607,762.82 and 105,655.24

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Solution

The fourth proportional to 405,174.92, 607,762.82 and 105,655.24 is: 158,482.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,174.92 : 607,762.82 = 105,655.24 : x
  2. Step 2: Convert to fraction form
    405,174.92/607,762.82 = 105,655.24/x
  3. Step 3: Cross multiply
    405,174.92x = 607,762.82 × 105,655.24
  4. Step 4: Simplify right side
    405,174.92x = 64,213,326,610.18
  5. Step 5: Solve for x
    x = 64,213,326,610.18/405,174.92
  6. Step 6: Final answer
    x = 158,482.97

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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.