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Finding the Fourth Proportional to 305,775,666.45, 429,295,256.55 and 305,775,666.45

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Solution

The fourth proportional to 305,775,666.45, 429,295,256.55 and 305,775,666.45 is: 429,295,256.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,775,666.45 : 429,295,256.55 = 305,775,666.45 : x
  2. Step 2: Convert to fraction form
    305,775,666.45/429,295,256.55 = 305,775,666.45/x
  3. Step 3: Cross multiply
    305,775,666.45x = 429,295,256.55 × 305,775,666.45
  4. Step 4: Simplify right side
    305,775,666.45x = 131,268,043,175,399,984
  5. Step 5: Solve for x
    x = 131,268,043,175,399,984/305,775,666.45
  6. Step 6: Final answer
    x = 429,295,256.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.