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Finding the Fourth Proportional to 260,038.10, 389,193.15 and 188,758.10

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Solution

The fourth proportional to 260,038.10, 389,193.15 and 188,758.10 is: 282,509.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,038.10 : 389,193.15 = 188,758.10 : x
  2. Step 2: Convert to fraction form
    260,038.10/389,193.15 = 188,758.10/x
  3. Step 3: Cross multiply
    260,038.10x = 389,193.15 × 188,758.10
  4. Step 4: Simplify right side
    260,038.10x = 73,463,359,527.02
  5. Step 5: Solve for x
    x = 73,463,359,527.02/260,038.10
  6. Step 6: Final answer
    x = 282,509.98

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1.5x scale

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.