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Finding the Fourth Proportional to 1,975,687,984.81, 2,963,706,172.86 and 557,597,747.20

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Solution

The fourth proportional to 1,975,687,984.81, 2,963,706,172.86 and 557,597,747.20 is: 836,445,783.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975,687,984.81 : 2,963,706,172.86 = 557,597,747.20 : x
  2. Step 2: Convert to fraction form
    1,975,687,984.81/2,963,706,172.86 = 557,597,747.20/x
  3. Step 3: Cross multiply
    1,975,687,984.81x = 2,963,706,172.86 × 557,597,747.20
  4. Step 4: Simplify right side
    1,975,687,984.81x = 1,652,555,885,342,060,544
  5. Step 5: Solve for x
    x = 1,652,555,885,342,060,544/1,975,687,984.81
  6. Step 6: Final answer
    x = 836,445,783.97

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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.