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Finding the Fourth Proportional to 828,656,893.76, 1,143,375,807.84 and 476,164,783.04

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Solution

The fourth proportional to 828,656,893.76, 1,143,375,807.84 and 476,164,783.04 is: 657,009,309.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,656,893.76 : 1,143,375,807.84 = 476,164,783.04 : x
  2. Step 2: Convert to fraction form
    828,656,893.76/1,143,375,807.84 = 476,164,783.04/x
  3. Step 3: Cross multiply
    828,656,893.76x = 1,143,375,807.84 × 476,164,783.04
  4. Step 4: Simplify right side
    828,656,893.76x = 544,435,293,473,318,336
  5. Step 5: Solve for x
    x = 544,435,293,473,318,336/828,656,893.76
  6. Step 6: Final answer
    x = 657,009,309.37

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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.