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Finding the Fourth Proportional to 478,339,745.80, 717,509,618.70 and 436,013,422.60

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Solution

The fourth proportional to 478,339,745.80, 717,509,618.70 and 436,013,422.60 is: 654,020,133.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,339,745.80 : 717,509,618.70 = 436,013,422.60 : x
  2. Step 2: Convert to fraction form
    478,339,745.80/717,509,618.70 = 436,013,422.60/x
  3. Step 3: Cross multiply
    478,339,745.80x = 717,509,618.70 × 436,013,422.60
  4. Step 4: Simplify right side
    478,339,745.80x = 312,843,824,597,808,000
  5. Step 5: Solve for x
    x = 312,843,824,597,808,000/478,339,745.80
  6. Step 6: Final answer
    x = 654,020,133.90

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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.