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Finding the Fourth Proportional to 405,844.16, 608,842.72 and 125,295.76

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Solution

The fourth proportional to 405,844.16, 608,842.72 and 125,295.76 is: 187,967.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,844.16 : 608,842.72 = 125,295.76 : x
  2. Step 2: Convert to fraction form
    405,844.16/608,842.72 = 125,295.76/x
  3. Step 3: Cross multiply
    405,844.16x = 608,842.72 × 125,295.76
  4. Step 4: Simplify right side
    405,844.16x = 76,285,411,322.87
  5. Step 5: Solve for x
    x = 76,285,411,322.87/405,844.16
  6. Step 6: Final answer
    x = 187,967.25

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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.