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Finding the Fourth Proportional to 260,038.15, 389,474.03 and 213,382.15

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Solution

The fourth proportional to 260,038.15, 389,474.03 and 213,382.15 is: 319,594.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,038.15 : 389,474.03 = 213,382.15 : x
  2. Step 2: Convert to fraction form
    260,038.15/389,474.03 = 213,382.15/x
  3. Step 3: Cross multiply
    260,038.15x = 389,474.03 × 213,382.15
  4. Step 4: Simplify right side
    260,038.15x = 83,106,804,823.65
  5. Step 5: Solve for x
    x = 83,106,804,823.65/260,038.15
  6. Step 6: Final answer
    x = 319,594.66

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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.