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Finding the Fourth Proportional to 378,071,336.80, 566,883,056.40 and 196,672,808.80

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Solution

The fourth proportional to 378,071,336.80, 566,883,056.40 and 196,672,808.80 is: 294,892,714.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,071,336.80 : 566,883,056.40 = 196,672,808.80 : x
  2. Step 2: Convert to fraction form
    378,071,336.80/566,883,056.40 = 196,672,808.80/x
  3. Step 3: Cross multiply
    378,071,336.80x = 566,883,056.40 × 196,672,808.80
  4. Step 4: Simplify right side
    378,071,336.80x = 111,490,482,963,316,816
  5. Step 5: Solve for x
    x = 111,490,482,963,316,816/378,071,336.80
  6. Step 6: Final answer
    x = 294,892,714.98

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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.