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Finding the Fourth Proportional to 978,769,040.81, 1,350,730,507.26 and 602,642,617.23

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Solution

The fourth proportional to 978,769,040.81, 1,350,730,507.26 and 602,642,617.23 is: 831,664,809.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,769,040.81 : 1,350,730,507.26 = 602,642,617.23 : x
  2. Step 2: Convert to fraction form
    978,769,040.81/1,350,730,507.26 = 602,642,617.23/x
  3. Step 3: Cross multiply
    978,769,040.81x = 1,350,730,507.26 × 602,642,617.23
  4. Step 4: Simplify right side
    978,769,040.81x = 814,007,768,067,571,968
  5. Step 5: Solve for x
    x = 814,007,768,067,571,968/978,769,040.81
  6. Step 6: Final answer
    x = 831,664,809.71

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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.