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Finding the Fourth Proportional to 533,559,938.40, 800,339,907.60 and 442,860,674.40

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Solution

The fourth proportional to 533,559,938.40, 800,339,907.60 and 442,860,674.40 is: 664,291,011.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,559,938.40 : 800,339,907.60 = 442,860,674.40 : x
  2. Step 2: Convert to fraction form
    533,559,938.40/800,339,907.60 = 442,860,674.40/x
  3. Step 3: Cross multiply
    533,559,938.40x = 800,339,907.60 × 442,860,674.40
  4. Step 4: Simplify right side
    533,559,938.40x = 354,439,071,228,969,664
  5. Step 5: Solve for x
    x = 354,439,071,228,969,664/533,559,938.40
  6. Step 6: Final answer
    x = 664,291,011.60

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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.