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Finding the Fourth Proportional to 285,143.40, 427,715.10 and 74,802.60

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Solution

The fourth proportional to 285,143.40, 427,715.10 and 74,802.60 is: 112,203.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,143.40 : 427,715.10 = 74,802.60 : x
  2. Step 2: Convert to fraction form
    285,143.40/427,715.10 = 74,802.60/x
  3. Step 3: Cross multiply
    285,143.40x = 427,715.10 × 74,802.60
  4. Step 4: Simplify right side
    285,143.40x = 31,994,201,539.26
  5. Step 5: Solve for x
    x = 31,994,201,539.26/285,143.40
  6. Step 6: Final answer
    x = 112,203.90

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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.