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Finding the Fourth Proportional to 261,385,404.90, 392,078,107.35 and 261,385,404.90

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Solution

The fourth proportional to 261,385,404.90, 392,078,107.35 and 261,385,404.90 is: 392,078,107.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,385,404.90 : 392,078,107.35 = 261,385,404.90 : x
  2. Step 2: Convert to fraction form
    261,385,404.90/392,078,107.35 = 261,385,404.90/x
  3. Step 3: Cross multiply
    261,385,404.90x = 392,078,107.35 × 261,385,404.90
  4. Step 4: Simplify right side
    261,385,404.90x = 102,483,494,842,105,424
  5. Step 5: Solve for x
    x = 102,483,494,842,105,424/261,385,404.90
  6. Step 6: Final answer
    x = 392,078,107.35

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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.