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Finding the Fourth Proportional to 431,365,720.95, 647,048,581.43 and 431,365,720.95

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Solution

The fourth proportional to 431,365,720.95, 647,048,581.43 and 431,365,720.95 is: 647,048,581.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,365,720.95 : 647,048,581.43 = 431,365,720.95 : x
  2. Step 2: Convert to fraction form
    431,365,720.95/647,048,581.43 = 431,365,720.95/x
  3. Step 3: Cross multiply
    431,365,720.95x = 647,048,581.43 × 431,365,720.95
  4. Step 4: Simplify right side
    431,365,720.95x = 279,114,577,816,069,888
  5. Step 5: Solve for x
    x = 279,114,577,816,069,888/431,365,720.95
  6. Step 6: Final answer
    x = 647,048,581.43

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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.