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Finding the Fourth Proportional to 421,852,791.71, 582,161,508.72 and 233,683,967.81

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Solution

The fourth proportional to 421,852,791.71, 582,161,508.72 and 233,683,967.81 is: 322,486,454.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,852,791.71 : 582,161,508.72 = 233,683,967.81 : x
  2. Step 2: Convert to fraction form
    421,852,791.71/582,161,508.72 = 233,683,967.81/x
  3. Step 3: Cross multiply
    421,852,791.71x = 582,161,508.72 × 233,683,967.81
  4. Step 4: Simplify right side
    421,852,791.71x = 136,041,811,265,400,928
  5. Step 5: Solve for x
    x = 136,041,811,265,400,928/421,852,791.71
  6. Step 6: Final answer
    x = 322,486,454.84

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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.