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Finding the Fourth Proportional to 611,731,908.60, 917,597,862.90 and 550,509,905.40

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Solution

The fourth proportional to 611,731,908.60, 917,597,862.90 and 550,509,905.40 is: 825,764,858.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,731,908.60 : 917,597,862.90 = 550,509,905.40 : x
  2. Step 2: Convert to fraction form
    611,731,908.60/917,597,862.90 = 550,509,905.40/x
  3. Step 3: Cross multiply
    611,731,908.60x = 917,597,862.90 × 550,509,905.40
  4. Step 4: Simplify right side
    611,731,908.60x = 505,146,712,700,321,152
  5. Step 5: Solve for x
    x = 505,146,712,700,321,152/611,731,908.60
  6. Step 6: Final answer
    x = 825,764,858.10

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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.