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Finding the Fourth Proportional to 438,576, 657,968 and 143,088

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Solution

The fourth proportional to 438,576, 657,968 and 143,088 is: 214,665.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,576 : 657,968 = 143,088 : x
  2. Step 2: Convert to fraction form
    438,576/657,968 = 143,088/x
  3. Step 3: Cross multiply
    438,576x = 657,968 × 143,088
  4. Step 4: Simplify right side
    438,576x = 94,147,325,184
  5. Step 5: Solve for x
    x = 94,147,325,184/438,576
  6. Step 6: Final answer
    x = 214,665.93

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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.