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Finding the Fourth Proportional to 505,735.30, 697,928.40 and 301,904.50

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Solution

The fourth proportional to 505,735.30, 697,928.40 and 301,904.50 is: 416,636.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,735.30 : 697,928.40 = 301,904.50 : x
  2. Step 2: Convert to fraction form
    505,735.30/697,928.40 = 301,904.50/x
  3. Step 3: Cross multiply
    505,735.30x = 697,928.40 × 301,904.50
  4. Step 4: Simplify right side
    505,735.30x = 210,707,724,637.80
  5. Step 5: Solve for x
    x = 210,707,724,637.80/505,735.30
  6. Step 6: Final answer
    x = 416,636.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.