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Finding the Fourth Proportional to 585,072, 877,608 and 141,840

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Solution

The fourth proportional to 585,072, 877,608 and 141,840 is: 212,760

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,072 : 877,608 = 141,840 : x
  2. Step 2: Convert to fraction form
    585,072/877,608 = 141,840/x
  3. Step 3: Cross multiply
    585,072x = 877,608 × 141,840
  4. Step 4: Simplify right side
    585,072x = 124,479,918,720
  5. Step 5: Solve for x
    x = 124,479,918,720/585,072
  6. Step 6: Final answer
    x = 212,760

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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.