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Finding the Fourth Proportional to 298,576,488.60, 411,843,207.72 and 198,102,751.20

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Solution

The fourth proportional to 298,576,488.60, 411,843,207.72 and 198,102,751.20 is: 273,254,176.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,576,488.60 : 411,843,207.72 = 198,102,751.20 : x
  2. Step 2: Convert to fraction form
    298,576,488.60/411,843,207.72 = 198,102,751.20/x
  3. Step 3: Cross multiply
    298,576,488.60x = 411,843,207.72 × 198,102,751.20
  4. Step 4: Simplify right side
    298,576,488.60x = 81,587,272,512,365,088
  5. Step 5: Solve for x
    x = 81,587,272,512,365,088/298,576,488.60
  6. Step 6: Final answer
    x = 273,254,176.49

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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.