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Finding the Fourth Proportional to 686,494,707.39, 947,564,314.06 and 448,376,294.39

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Solution

The fourth proportional to 686,494,707.39, 947,564,314.06 and 448,376,294.39 is: 618,890,970.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,494,707.39 : 947,564,314.06 = 448,376,294.39 : x
  2. Step 2: Convert to fraction form
    686,494,707.39/947,564,314.06 = 448,376,294.39/x
  3. Step 3: Cross multiply
    686,494,707.39x = 947,564,314.06 × 448,376,294.39
  4. Step 4: Simplify right side
    686,494,707.39x = 424,865,375,834,424,960
  5. Step 5: Solve for x
    x = 424,865,375,834,424,960/686,494,707.39
  6. Step 6: Final answer
    x = 618,890,970.70

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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.