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Finding the Fourth Proportional to 405,845.40, 608,768.10 and 265,762.20

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Solution

The fourth proportional to 405,845.40, 608,768.10 and 265,762.20 is: 398,643.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,845.40 : 608,768.10 = 265,762.20 : x
  2. Step 2: Convert to fraction form
    405,845.40/608,768.10 = 265,762.20/x
  3. Step 3: Cross multiply
    405,845.40x = 608,768.10 × 265,762.20
  4. Step 4: Simplify right side
    405,845.40x = 161,787,549,545.82
  5. Step 5: Solve for x
    x = 161,787,549,545.82/405,845.40
  6. Step 6: Final answer
    x = 398,643.30

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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.