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Finding the Fourth Proportional to 431,365,484.40, 647,048,226.60 and 407,556,927.60

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Solution

The fourth proportional to 431,365,484.40, 647,048,226.60 and 407,556,927.60 is: 611,335,391.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,365,484.40 : 647,048,226.60 = 407,556,927.60 : x
  2. Step 2: Convert to fraction form
    431,365,484.40/647,048,226.60 = 407,556,927.60/x
  3. Step 3: Cross multiply
    431,365,484.40x = 647,048,226.60 × 407,556,927.60
  4. Step 4: Simplify right side
    431,365,484.40x = 263,708,987,242,124,608
  5. Step 5: Solve for x
    x = 263,708,987,242,124,608/431,365,484.40
  6. Step 6: Final answer
    x = 611,335,391.40

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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.