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Finding the Fourth Proportional to 313,261,703.80, 469,892,555.70 and 266,904,302.20

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Solution

The fourth proportional to 313,261,703.80, 469,892,555.70 and 266,904,302.20 is: 400,356,453.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,261,703.80 : 469,892,555.70 = 266,904,302.20 : x
  2. Step 2: Convert to fraction form
    313,261,703.80/469,892,555.70 = 266,904,302.20/x
  3. Step 3: Cross multiply
    313,261,703.80x = 469,892,555.70 × 266,904,302.20
  4. Step 4: Simplify right side
    313,261,703.80x = 125,416,344,688,083,120
  5. Step 5: Solve for x
    x = 125,416,344,688,083,120/313,261,703.80
  6. Step 6: Final answer
    x = 400,356,453.30

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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.