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Finding the Fourth Proportional to 522,903,044.80, 785,110,394.40 and 394,412,420.80

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Solution

The fourth proportional to 522,903,044.80, 785,110,394.40 and 394,412,420.80 is: 592,188,732.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,903,044.80 : 785,110,394.40 = 394,412,420.80 : x
  2. Step 2: Convert to fraction form
    522,903,044.80/785,110,394.40 = 394,412,420.80/x
  3. Step 3: Cross multiply
    522,903,044.80x = 785,110,394.40 × 394,412,420.80
  4. Step 4: Simplify right side
    522,903,044.80x = 309,657,291,250,546,752
  5. Step 5: Solve for x
    x = 309,657,291,250,546,752/522,903,044.80
  6. Step 6: Final answer
    x = 592,188,732.37

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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.