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Finding the Fourth Proportional to 285,970.50, 428,955.75 and 98,982

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Solution

The fourth proportional to 285,970.50, 428,955.75 and 98,982 is: 148,473

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,970.50 : 428,955.75 = 98,982 : x
  2. Step 2: Convert to fraction form
    285,970.50/428,955.75 = 98,982/x
  3. Step 3: Cross multiply
    285,970.50x = 428,955.75 × 98,982
  4. Step 4: Simplify right side
    285,970.50x = 42,458,898,046.50
  5. Step 5: Solve for x
    x = 42,458,898,046.50/285,970.50
  6. Step 6: Final answer
    x = 148,473

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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.