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Finding the Fourth Proportional to 406,683,843.99, 561,493,973.88 and 312,430,125.57

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Solution

The fourth proportional to 406,683,843.99, 561,493,973.88 and 312,430,125.57 is: 431,361,204.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,683,843.99 : 561,493,973.88 = 312,430,125.57 : x
  2. Step 2: Convert to fraction form
    406,683,843.99/561,493,973.88 = 312,430,125.57/x
  3. Step 3: Cross multiply
    406,683,843.99x = 561,493,973.88 × 312,430,125.57
  4. Step 4: Simplify right side
    406,683,843.99x = 175,427,632,766,126,688
  5. Step 5: Solve for x
    x = 175,427,632,766,126,688/406,683,843.99
  6. Step 6: Final answer
    x = 431,361,204.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.