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Finding the Fourth Proportional to 780,336, 1,170,506.88 and 189,360

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Solution

The fourth proportional to 780,336, 1,170,506.88 and 189,360 is: 284,040.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,336 : 1,170,506.88 = 189,360 : x
  2. Step 2: Convert to fraction form
    780,336/1,170,506.88 = 189,360/x
  3. Step 3: Cross multiply
    780,336x = 1,170,506.88 × 189,360
  4. Step 4: Simplify right side
    780,336x = 221,647,182,796.80
  5. Step 5: Solve for x
    x = 221,647,182,796.80/780,336
  6. Step 6: Final answer
    x = 284,040.70

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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.