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Finding the Fourth Proportional to 362,038.08, 543,454.40 and 287,636.48

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Solution

The fourth proportional to 362,038.08, 543,454.40 and 287,636.48 is: 431,770.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,038.08 : 543,454.40 = 287,636.48 : x
  2. Step 2: Convert to fraction form
    362,038.08/543,454.40 = 287,636.48/x
  3. Step 3: Cross multiply
    362,038.08x = 543,454.40 × 287,636.48
  4. Step 4: Simplify right side
    362,038.08x = 156,317,310,656.51
  5. Step 5: Solve for x
    x = 156,317,310,656.51/362,038.08
  6. Step 6: Final answer
    x = 431,770.36

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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.