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Finding the Fourth Proportional to 405,443.80, 608,165.70 and 256,144.60

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Solution

The fourth proportional to 405,443.80, 608,165.70 and 256,144.60 is: 384,216.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,443.80 : 608,165.70 = 256,144.60 : x
  2. Step 2: Convert to fraction form
    405,443.80/608,165.70 = 256,144.60/x
  3. Step 3: Cross multiply
    405,443.80x = 608,165.70 × 256,144.60
  4. Step 4: Simplify right side
    405,443.80x = 155,778,359,960.22
  5. Step 5: Solve for x
    x = 155,778,359,960.22/405,443.80
  6. Step 6: Final answer
    x = 384,216.90

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1.5x scale

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.