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Finding the Fourth Proportional to 384,809,925.09, 531,038,405.36 and 208,597,375.51

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Solution

The fourth proportional to 384,809,925.09, 531,038,405.36 and 208,597,375.51 is: 287,864,762.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,809,925.09 : 531,038,405.36 = 208,597,375.51 : x
  2. Step 2: Convert to fraction form
    384,809,925.09/531,038,405.36 = 208,597,375.51/x
  3. Step 3: Cross multiply
    384,809,925.09x = 531,038,405.36 × 208,597,375.51
  4. Step 4: Simplify right side
    384,809,925.09x = 110,773,217,654,439,104
  5. Step 5: Solve for x
    x = 110,773,217,654,439,104/384,809,925.09
  6. Step 6: Final answer
    x = 287,864,762.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.