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Finding the Fourth Proportional to 285,840.36, 428,825.34 and 98,853.48

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Solution

The fourth proportional to 285,840.36, 428,825.34 and 98,853.48 is: 148,302.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,840.36 : 428,825.34 = 98,853.48 : x
  2. Step 2: Convert to fraction form
    285,840.36/428,825.34 = 98,853.48/x
  3. Step 3: Cross multiply
    285,840.36x = 428,825.34 × 98,853.48
  4. Step 4: Simplify right side
    285,840.36x = 42,390,877,171.18
  5. Step 5: Solve for x
    x = 42,390,877,171.18/285,840.36
  6. Step 6: Final answer
    x = 148,302.63

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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.