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Finding the Fourth Proportional to 274,752,421.70, 412,128,632.55 and 272,839,234.10

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Solution

The fourth proportional to 274,752,421.70, 412,128,632.55 and 272,839,234.10 is: 409,258,851.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,752,421.70 : 412,128,632.55 = 272,839,234.10 : x
  2. Step 2: Convert to fraction form
    274,752,421.70/412,128,632.55 = 272,839,234.10/x
  3. Step 3: Cross multiply
    274,752,421.70x = 412,128,632.55 × 272,839,234.10
  4. Step 4: Simplify right side
    274,752,421.70x = 112,444,860,455,622,336
  5. Step 5: Solve for x
    x = 112,444,860,455,622,336/274,752,421.70
  6. Step 6: Final answer
    x = 409,258,851.15

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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.