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Finding the Fourth Proportional to 362,038.83, 543,455.53 and 287,637.23

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Solution

The fourth proportional to 362,038.83, 543,455.53 and 287,637.23 is: 431,771.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,038.83 : 543,455.53 = 287,637.23 : x
  2. Step 2: Convert to fraction form
    362,038.83/543,455.53 = 287,637.23/x
  3. Step 3: Cross multiply
    362,038.83x = 543,455.53 × 287,637.23
  4. Step 4: Simplify right side
    362,038.83x = 156,318,041,839.20
  5. Step 5: Solve for x
    x = 156,318,041,839.20/362,038.83
  6. Step 6: Final answer
    x = 431,771.48

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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.