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Finding the Fourth Proportional to 1,179,739,347.76, 1,769,411,724.14 and 432,600,728.33

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Solution

The fourth proportional to 1,179,739,347.76, 1,769,411,724.14 and 432,600,728.33 is: 648,828,745.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179,739,347.76 : 1,769,411,724.14 = 432,600,728.33 : x
  2. Step 2: Convert to fraction form
    1,179,739,347.76/1,769,411,724.14 = 432,600,728.33/x
  3. Step 3: Cross multiply
    1,179,739,347.76x = 1,769,411,724.14 × 432,600,728.33
  4. Step 4: Simplify right side
    1,179,739,347.76x = 765,448,800,581,644,288
  5. Step 5: Solve for x
    x = 765,448,800,581,644,288/1,179,739,347.76
  6. Step 6: Final answer
    x = 648,828,745.13

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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.