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Finding the Fourth Proportional to 654,223,840.40, 980,502,173.40 and 347,662,816.40

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Solution

The fourth proportional to 654,223,840.40, 980,502,173.40 and 347,662,816.40 is: 521,051,245.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,223,840.40 : 980,502,173.40 = 347,662,816.40 : x
  2. Step 2: Convert to fraction form
    654,223,840.40/980,502,173.40 = 347,662,816.40/x
  3. Step 3: Cross multiply
    654,223,840.40x = 980,502,173.40 × 347,662,816.40
  4. Step 4: Simplify right side
    654,223,840.40x = 340,884,147,090,565,120
  5. Step 5: Solve for x
    x = 340,884,147,090,565,120/654,223,840.40
  6. Step 6: Final answer
    x = 521,051,245.83

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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.