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Finding the Fourth Proportional to 570,008,098.98, 786,607,891.89 and 309,242,116.26

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Solution

The fourth proportional to 570,008,098.98, 786,607,891.89 and 309,242,116.26 is: 426,752,338.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,008,098.98 : 786,607,891.89 = 309,242,116.26 : x
  2. Step 2: Convert to fraction form
    570,008,098.98/786,607,891.89 = 309,242,116.26/x
  3. Step 3: Cross multiply
    570,008,098.98x = 786,607,891.89 × 309,242,116.26
  4. Step 4: Simplify right side
    570,008,098.98x = 243,252,289,154,880,864
  5. Step 5: Solve for x
    x = 243,252,289,154,880,864/570,008,098.98
  6. Step 6: Final answer
    x = 426,752,338.41

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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.