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Finding the Fourth Proportional to 686,494,706.88, 947,564,313.37 and 448,376,293.89

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Solution

The fourth proportional to 686,494,706.88, 947,564,313.37 and 448,376,293.89 is: 618,890,970.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,494,706.88 : 947,564,313.37 = 448,376,293.89 : x
  2. Step 2: Convert to fraction form
    686,494,706.88/947,564,313.37 = 448,376,293.89/x
  3. Step 3: Cross multiply
    686,494,706.88x = 947,564,313.37 × 448,376,293.89
  4. Step 4: Simplify right side
    686,494,706.88x = 424,865,375,051,263,168
  5. Step 5: Solve for x
    x = 424,865,375,051,263,168/686,494,706.88
  6. Step 6: Final answer
    x = 618,890,970.02

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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.