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Finding the Fourth Proportional to 435,817.32, 653,763.60 and 120,274.20

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Solution

The fourth proportional to 435,817.32, 653,763.60 and 120,274.20 is: 180,421.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,817.32 : 653,763.60 = 120,274.20 : x
  2. Step 2: Convert to fraction form
    435,817.32/653,763.60 = 120,274.20/x
  3. Step 3: Cross multiply
    435,817.32x = 653,763.60 × 120,274.20
  4. Step 4: Simplify right side
    435,817.32x = 78,630,893,979.12
  5. Step 5: Solve for x
    x = 78,630,893,979.12/435,817.32
  6. Step 6: Final answer
    x = 180,421.68

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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.