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Finding the Fourth Proportional to 405,323.26, 605,016.81 and 357,441.32

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Solution

The fourth proportional to 405,323.26, 605,016.81 and 357,441.32 is: 533,544.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,323.26 : 605,016.81 = 357,441.32 : x
  2. Step 2: Convert to fraction form
    405,323.26/605,016.81 = 357,441.32/x
  3. Step 3: Cross multiply
    405,323.26x = 605,016.81 × 357,441.32
  4. Step 4: Simplify right side
    405,323.26x = 216,258,008,701.13
  5. Step 5: Solve for x
    x = 216,258,008,701.13/405,323.26
  6. Step 6: Final answer
    x = 533,544.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.