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Finding the Fourth Proportional to 405,870.80, 608,806.20 and 184,254.80

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Solution

The fourth proportional to 405,870.80, 608,806.20 and 184,254.80 is: 276,382.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,870.80 : 608,806.20 = 184,254.80 : x
  2. Step 2: Convert to fraction form
    405,870.80/608,806.20 = 184,254.80/x
  3. Step 3: Cross multiply
    405,870.80x = 608,806.20 × 184,254.80
  4. Step 4: Simplify right side
    405,870.80x = 112,175,464,619.76
  5. Step 5: Solve for x
    x = 112,175,464,619.76/405,870.80
  6. Step 6: Final answer
    x = 276,382.20

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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.