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Finding the Fourth Proportional to 282,441.60, 423,446.40 and 142,300.80

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Solution

The fourth proportional to 282,441.60, 423,446.40 and 142,300.80 is: 213,342.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,441.60 : 423,446.40 = 142,300.80 : x
  2. Step 2: Convert to fraction form
    282,441.60/423,446.40 = 142,300.80/x
  3. Step 3: Cross multiply
    282,441.60x = 423,446.40 × 142,300.80
  4. Step 4: Simplify right side
    282,441.60x = 60,256,761,477.12
  5. Step 5: Solve for x
    x = 60,256,761,477.12/282,441.60
  6. Step 6: Final answer
    x = 213,342.37

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1.5x scale

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.