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Finding the Fourth Proportional to 550,657,640.60, 824,991,132.90 and 320,438,274.20

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Solution

The fourth proportional to 550,657,640.60, 824,991,132.90 and 320,438,274.20 is: 480,078,210.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,657,640.60 : 824,991,132.90 = 320,438,274.20 : x
  2. Step 2: Convert to fraction form
    550,657,640.60/824,991,132.90 = 320,438,274.20/x
  3. Step 3: Cross multiply
    550,657,640.60x = 824,991,132.90 × 320,438,274.20
  4. Step 4: Simplify right side
    550,657,640.60x = 264,358,734,856,778,816
  5. Step 5: Solve for x
    x = 264,358,734,856,778,816/550,657,640.60
  6. Step 6: Final answer
    x = 480,078,210.79

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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.