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Finding the Fourth Proportional to 405,643.20, 608,464.80 and 106,123.20

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Solution

The fourth proportional to 405,643.20, 608,464.80 and 106,123.20 is: 159,184.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,643.20 : 608,464.80 = 106,123.20 : x
  2. Step 2: Convert to fraction form
    405,643.20/608,464.80 = 106,123.20/x
  3. Step 3: Cross multiply
    405,643.20x = 608,464.80 × 106,123.20
  4. Step 4: Simplify right side
    405,643.20x = 64,572,231,663.36
  5. Step 5: Solve for x
    x = 64,572,231,663.36/405,643.20
  6. Step 6: Final answer
    x = 159,184.80

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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.