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Finding the Fourth Proportional to 446,673,048.80, 670,009,573.20 and 343,360,918.40

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Solution

The fourth proportional to 446,673,048.80, 670,009,573.20 and 343,360,918.40 is: 515,041,377.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,673,048.80 : 670,009,573.20 = 343,360,918.40 : x
  2. Step 2: Convert to fraction form
    446,673,048.80/670,009,573.20 = 343,360,918.40/x
  3. Step 3: Cross multiply
    446,673,048.80x = 670,009,573.20 × 343,360,918.40
  4. Step 4: Simplify right side
    446,673,048.80x = 230,055,102,390,744,032
  5. Step 5: Solve for x
    x = 230,055,102,390,744,032/446,673,048.80
  6. Step 6: Final answer
    x = 515,041,377.60

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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.