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Finding the Fourth Proportional to 866,938,213.20, 1,196,375,516.40 and 470,461,206.60

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Solution

The fourth proportional to 866,938,213.20, 1,196,375,516.40 and 470,461,206.60 is: 649,236,889.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,938,213.20 : 1,196,375,516.40 = 470,461,206.60 : x
  2. Step 2: Convert to fraction form
    866,938,213.20/1,196,375,516.40 = 470,461,206.60/x
  3. Step 3: Cross multiply
    866,938,213.20x = 1,196,375,516.40 × 470,461,206.60
  4. Step 4: Simplify right side
    866,938,213.20x = 562,848,268,992,242,176
  5. Step 5: Solve for x
    x = 562,848,268,992,242,176/866,938,213.20
  6. Step 6: Final answer
    x = 649,236,889.58

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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.