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Finding the Fourth Proportional to 285,522.40, 427,822.80 and 180,152.80

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Solution

The fourth proportional to 285,522.40, 427,822.80 and 180,152.80 is: 269,938.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,522.40 : 427,822.80 = 180,152.80 : x
  2. Step 2: Convert to fraction form
    285,522.40/427,822.80 = 180,152.80/x
  3. Step 3: Cross multiply
    285,522.40x = 427,822.80 × 180,152.80
  4. Step 4: Simplify right side
    285,522.40x = 77,073,475,323.84
  5. Step 5: Solve for x
    x = 77,073,475,323.84/285,522.40
  6. Step 6: Final answer
    x = 269,938.45

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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.