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Finding the Fourth Proportional to 405,232.74, 607,849.44 and 105,712.98

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Solution

The fourth proportional to 405,232.74, 607,849.44 and 105,712.98 is: 158,569.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,232.74 : 607,849.44 = 105,712.98 : x
  2. Step 2: Convert to fraction form
    405,232.74/607,849.44 = 105,712.98/x
  3. Step 3: Cross multiply
    405,232.74x = 607,849.44 × 105,712.98
  4. Step 4: Simplify right side
    405,232.74x = 64,257,575,693.73
  5. Step 5: Solve for x
    x = 64,257,575,693.73/405,232.74
  6. Step 6: Final answer
    x = 158,569.56

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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.