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Finding the Fourth Proportional to 640,016.14, 960,023.90 and 190,725.54

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Solution

The fourth proportional to 640,016.14, 960,023.90 and 190,725.54 is: 286,088.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,016.14 : 960,023.90 = 190,725.54 : x
  2. Step 2: Convert to fraction form
    640,016.14/960,023.90 = 190,725.54/x
  3. Step 3: Cross multiply
    640,016.14x = 960,023.90 × 190,725.54
  4. Step 4: Simplify right side
    640,016.14x = 183,101,075,786.78
  5. Step 5: Solve for x
    x = 183,101,075,786.78/640,016.14
  6. Step 6: Final answer
    x = 286,088.22

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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.