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Finding the Fourth Proportional to 405,309.72, 608,276.23 and 384,496.77

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Solution

The fourth proportional to 405,309.72, 608,276.23 and 384,496.77 is: 577,040.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,309.72 : 608,276.23 = 384,496.77 : x
  2. Step 2: Convert to fraction form
    405,309.72/608,276.23 = 384,496.77/x
  3. Step 3: Cross multiply
    405,309.72x = 608,276.23 × 384,496.77
  4. Step 4: Simplify right side
    405,309.72x = 233,880,249,185.37
  5. Step 5: Solve for x
    x = 233,880,249,185.37/405,309.72
  6. Step 6: Final answer
    x = 577,040.80

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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.