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Finding the Fourth Proportional to 830,508,768.90, 1,245,603,721.05 and 248,262,009.30

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Solution

The fourth proportional to 830,508,768.90, 1,245,603,721.05 and 248,262,009.30 is: 372,345,355.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,508,768.90 : 1,245,603,721.05 = 248,262,009.30 : x
  2. Step 2: Convert to fraction form
    830,508,768.90/1,245,603,721.05 = 248,262,009.30/x
  3. Step 3: Cross multiply
    830,508,768.90x = 1,245,603,721.05 × 248,262,009.30
  4. Step 4: Simplify right side
    830,508,768.90x = 309,236,082,579,429,696
  5. Step 5: Solve for x
    x = 309,236,082,579,429,696/830,508,768.90
  6. Step 6: Final answer
    x = 372,345,355.23

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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.