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Finding the Fourth Proportional to 6,978,140.80, 10,467,211.20 and 5,798,492.80

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Solution

The fourth proportional to 6,978,140.80, 10,467,211.20 and 5,798,492.80 is: 8,697,739.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978,140.80 : 10,467,211.20 = 5,798,492.80 : x
  2. Step 2: Convert to fraction form
    6,978,140.80/10,467,211.20 = 5,798,492.80/x
  3. Step 3: Cross multiply
    6,978,140.80x = 10,467,211.20 × 5,798,492.80
  4. Step 4: Simplify right side
    6,978,140.80x = 60,694,048,779,279.35
  5. Step 5: Solve for x
    x = 60,694,048,779,279.35/6,978,140.80
  6. Step 6: Final answer
    x = 8,697,739.20

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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.