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Finding the Fourth Proportional to 442,155.60, 663,071.40 and 142,714.80

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Solution

The fourth proportional to 442,155.60, 663,071.40 and 142,714.80 is: 214,019.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,155.60 : 663,071.40 = 142,714.80 : x
  2. Step 2: Convert to fraction form
    442,155.60/663,071.40 = 142,714.80/x
  3. Step 3: Cross multiply
    442,155.60x = 663,071.40 × 142,714.80
  4. Step 4: Simplify right side
    442,155.60x = 94,630,102,236.72
  5. Step 5: Solve for x
    x = 94,630,102,236.72/442,155.60
  6. Step 6: Final answer
    x = 214,019.91

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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.