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Finding the Fourth Proportional to 405,270.30, 607,905.93 and 105,750.66

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Solution

The fourth proportional to 405,270.30, 607,905.93 and 105,750.66 is: 158,626.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,270.30 : 607,905.93 = 105,750.66 : x
  2. Step 2: Convert to fraction form
    405,270.30/607,905.93 = 105,750.66/x
  3. Step 3: Cross multiply
    405,270.30x = 607,905.93 × 105,750.66
  4. Step 4: Simplify right side
    405,270.30x = 64,286,453,315.41
  5. Step 5: Solve for x
    x = 64,286,453,315.41/405,270.30
  6. Step 6: Final answer
    x = 158,626.12

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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.