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Finding the Fourth Proportional to 407,173,408.40, 610,760,112.60 and 213,009,798.80

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Solution

The fourth proportional to 407,173,408.40, 610,760,112.60 and 213,009,798.80 is: 319,514,698.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,173,408.40 : 610,760,112.60 = 213,009,798.80 : x
  2. Step 2: Convert to fraction form
    407,173,408.40/610,760,112.60 = 213,009,798.80/x
  3. Step 3: Cross multiply
    407,173,408.40x = 610,760,112.60 × 213,009,798.80
  4. Step 4: Simplify right side
    407,173,408.40x = 130,097,888,699,991,360
  5. Step 5: Solve for x
    x = 130,097,888,699,991,360/407,173,408.40
  6. Step 6: Final answer
    x = 319,514,698.20

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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.