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Finding the Fourth Proportional to 405,678,603.18, 559,830,978.82 and 227,062,438.43

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Solution

The fourth proportional to 405,678,603.18, 559,830,978.82 and 227,062,438.43 is: 313,343,090.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,678,603.18 : 559,830,978.82 = 227,062,438.43 : x
  2. Step 2: Convert to fraction form
    405,678,603.18/559,830,978.82 = 227,062,438.43/x
  3. Step 3: Cross multiply
    405,678,603.18x = 559,830,978.82 × 227,062,438.43
  4. Step 4: Simplify right side
    405,678,603.18x = 127,116,587,158,881,024
  5. Step 5: Solve for x
    x = 127,116,587,158,881,024/405,678,603.18
  6. Step 6: Final answer
    x = 313,343,090.22

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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.