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Finding the Fourth Proportional to 1,380,443,354.02, 1,905,058,838.60 and 816,411,734.70

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Solution

The fourth proportional to 1,380,443,354.02, 1,905,058,838.60 and 816,411,734.70 is: 1,126,675,996.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380,443,354.02 : 1,905,058,838.60 = 816,411,734.70 : x
  2. Step 2: Convert to fraction form
    1,380,443,354.02/1,905,058,838.60 = 816,411,734.70/x
  3. Step 3: Cross multiply
    1,380,443,354.02x = 1,905,058,838.60 × 816,411,734.70
  4. Step 4: Simplify right side
    1,380,443,354.02x = 1,555,312,391,126,993,408
  5. Step 5: Solve for x
    x = 1,555,312,391,126,993,408/1,380,443,354.02
  6. Step 6: Final answer
    x = 1,126,675,996.23

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1.5x scale

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.