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Finding the Fourth Proportional to 390,102.63, 585,322.96 and 137,563.50

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Solution

The fourth proportional to 390,102.63, 585,322.96 and 137,563.50 is: 206,404.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,102.63 : 585,322.96 = 137,563.50 : x
  2. Step 2: Convert to fraction form
    390,102.63/585,322.96 = 137,563.50/x
  3. Step 3: Cross multiply
    390,102.63x = 585,322.96 × 137,563.50
  4. Step 4: Simplify right side
    390,102.63x = 80,519,075,007.96
  5. Step 5: Solve for x
    x = 80,519,075,007.96/390,102.63
  6. Step 6: Final answer
    x = 206,404.85

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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.