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Finding the Fourth Proportional to 505,374.95, 697,478.60 and 287,636.57

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Solution

The fourth proportional to 505,374.95, 697,478.60 and 287,636.57 is: 396,973.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,374.95 : 697,478.60 = 287,636.57 : x
  2. Step 2: Convert to fraction form
    505,374.95/697,478.60 = 287,636.57/x
  3. Step 3: Cross multiply
    505,374.95x = 697,478.60 × 287,636.57
  4. Step 4: Simplify right side
    505,374.95x = 200,620,352,152.40
  5. Step 5: Solve for x
    x = 200,620,352,152.40/505,374.95
  6. Step 6: Final answer
    x = 396,973.28

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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.