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Finding the Fourth Proportional to 261,648,978.60, 391,623,162.30 and 261,648,978.60

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Solution

The fourth proportional to 261,648,978.60, 391,623,162.30 and 261,648,978.60 is: 391,623,162.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,648,978.60 : 391,623,162.30 = 261,648,978.60 : x
  2. Step 2: Convert to fraction form
    261,648,978.60/391,623,162.30 = 261,648,978.60/x
  3. Step 3: Cross multiply
    261,648,978.60x = 391,623,162.30 × 261,648,978.60
  4. Step 4: Simplify right side
    261,648,978.60x = 102,467,800,411,897,024
  5. Step 5: Solve for x
    x = 102,467,800,411,897,024/261,648,978.60
  6. Step 6: Final answer
    x = 391,623,162.30

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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.