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Finding the Fourth Proportional to 1,139,915,111.13, 1,710,978,354.90 and 550,120,414.32

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Solution

The fourth proportional to 1,139,915,111.13, 1,710,978,354.90 and 550,120,414.32 is: 825,714,224.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139,915,111.13 : 1,710,978,354.90 = 550,120,414.32 : x
  2. Step 2: Convert to fraction form
    1,139,915,111.13/1,710,978,354.90 = 550,120,414.32/x
  3. Step 3: Cross multiply
    1,139,915,111.13x = 1,710,978,354.90 × 550,120,414.32
  4. Step 4: Simplify right side
    1,139,915,111.13x = 941,244,121,490,140,160
  5. Step 5: Solve for x
    x = 941,244,121,490,140,160/1,139,915,111.13
  6. Step 6: Final answer
    x = 825,714,224.07

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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.