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Finding the Fourth Proportional to 780,240, 1,170,360.48 and 189,264

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Solution

The fourth proportional to 780,240, 1,170,360.48 and 189,264 is: 283,896.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,240 : 1,170,360.48 = 189,264 : x
  2. Step 2: Convert to fraction form
    780,240/1,170,360.48 = 189,264/x
  3. Step 3: Cross multiply
    780,240x = 1,170,360.48 × 189,264
  4. Step 4: Simplify right side
    780,240x = 221,507,105,886.72
  5. Step 5: Solve for x
    x = 221,507,105,886.72/780,240
  6. Step 6: Final answer
    x = 283,896.12

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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.