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Finding the Fourth Proportional to 388,801,138.40, 583,285,688.40 and 116,199,461.60

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Solution

The fourth proportional to 388,801,138.40, 583,285,688.40 and 116,199,461.60 is: 174,324,291.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,801,138.40 : 583,285,688.40 = 116,199,461.60 : x
  2. Step 2: Convert to fraction form
    388,801,138.40/583,285,688.40 = 116,199,461.60/x
  3. Step 3: Cross multiply
    388,801,138.40x = 583,285,688.40 × 116,199,461.60
  4. Step 4: Simplify right side
    388,801,138.40x = 67,777,482,951,065,360
  5. Step 5: Solve for x
    x = 67,777,482,951,065,360/388,801,138.40
  6. Step 6: Final answer
    x = 174,324,291.41

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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.