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Finding the Fourth Proportional to 646,608,194.01, 970,525,485.72 and 400,219,527.42

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Solution

The fourth proportional to 646,608,194.01, 970,525,485.72 and 400,219,527.42 is: 600,708,829.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,608,194.01 : 970,525,485.72 = 400,219,527.42 : x
  2. Step 2: Convert to fraction form
    646,608,194.01/970,525,485.72 = 400,219,527.42/x
  3. Step 3: Cross multiply
    646,608,194.01x = 970,525,485.72 × 400,219,527.42
  4. Step 4: Simplify right side
    646,608,194.01x = 388,423,251,243,924,416
  5. Step 5: Solve for x
    x = 388,423,251,243,924,416/646,608,194.01
  6. Step 6: Final answer
    x = 600,708,829.31

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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.