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Finding the Fourth Proportional to 289,788,703.20, 434,683,054.80 and 261,123,256.80

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Solution

The fourth proportional to 289,788,703.20, 434,683,054.80 and 261,123,256.80 is: 391,684,885.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,788,703.20 : 434,683,054.80 = 261,123,256.80 : x
  2. Step 2: Convert to fraction form
    289,788,703.20/434,683,054.80 = 261,123,256.80/x
  3. Step 3: Cross multiply
    289,788,703.20x = 434,683,054.80 × 261,123,256.80
  4. Step 4: Simplify right side
    289,788,703.20x = 113,505,854,945,148,880
  5. Step 5: Solve for x
    x = 113,505,854,945,148,880/289,788,703.20
  6. Step 6: Final answer
    x = 391,684,885.20

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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.