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Finding the Fourth Proportional to 699,740.16, 965,662.72 and 397,977.60

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Solution

The fourth proportional to 699,740.16, 965,662.72 and 397,977.60 is: 549,221.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,740.16 : 965,662.72 = 397,977.60 : x
  2. Step 2: Convert to fraction form
    699,740.16/965,662.72 = 397,977.60/x
  3. Step 3: Cross multiply
    699,740.16x = 965,662.72 × 397,977.60
  4. Step 4: Simplify right side
    699,740.16x = 384,312,131,715.07
  5. Step 5: Solve for x
    x = 384,312,131,715.07/699,740.16
  6. Step 6: Final answer
    x = 549,221.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.