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Finding the Fourth Proportional to 556,114,296.30, 834,171,444.45 and 427,371,729.90

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Solution

The fourth proportional to 556,114,296.30, 834,171,444.45 and 427,371,729.90 is: 641,057,594.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,114,296.30 : 834,171,444.45 = 427,371,729.90 : x
  2. Step 2: Convert to fraction form
    556,114,296.30/834,171,444.45 = 427,371,729.90/x
  3. Step 3: Cross multiply
    556,114,296.30x = 834,171,444.45 × 427,371,729.90
  4. Step 4: Simplify right side
    556,114,296.30x = 356,501,293,247,778,240
  5. Step 5: Solve for x
    x = 356,501,293,247,778,240/556,114,296.30
  6. Step 6: Final answer
    x = 641,057,594.85

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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.