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Finding the Fourth Proportional to 911,043,686.86, 1,257,241,500.32 and 493,356,692.50

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Solution

The fourth proportional to 911,043,686.86, 1,257,241,500.32 and 493,356,692.50 is: 680,832,892.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,043,686.86 : 1,257,241,500.32 = 493,356,692.50 : x
  2. Step 2: Convert to fraction form
    911,043,686.86/1,257,241,500.32 = 493,356,692.50/x
  3. Step 3: Cross multiply
    911,043,686.86x = 1,257,241,500.32 × 493,356,692.50
  4. Step 4: Simplify right side
    911,043,686.86x = 620,268,508,266,003,072
  5. Step 5: Solve for x
    x = 620,268,508,266,003,072/911,043,686.86
  6. Step 6: Final answer
    x = 680,832,892.22

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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.