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Finding the Fourth Proportional to 523,595,655.70, 785,393,483.55 and 515,942,905.30

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Solution

The fourth proportional to 523,595,655.70, 785,393,483.55 and 515,942,905.30 is: 773,914,357.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,595,655.70 : 785,393,483.55 = 515,942,905.30 : x
  2. Step 2: Convert to fraction form
    523,595,655.70/785,393,483.55 = 515,942,905.30/x
  3. Step 3: Cross multiply
    523,595,655.70x = 785,393,483.55 × 515,942,905.30
  4. Step 4: Simplify right side
    523,595,655.70x = 405,218,195,706,474,752
  5. Step 5: Solve for x
    x = 405,218,195,706,474,752/523,595,655.70
  6. Step 6: Final answer
    x = 773,914,357.95

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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.