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Finding the Fourth Proportional to 765,051.12, 1,055,755.84 and 420,866.93

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Solution

The fourth proportional to 765,051.12, 1,055,755.84 and 420,866.93 is: 580,788.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,051.12 : 1,055,755.84 = 420,866.93 : x
  2. Step 2: Convert to fraction form
    765,051.12/1,055,755.84 = 420,866.93/x
  3. Step 3: Cross multiply
    765,051.12x = 1,055,755.84 × 420,866.93
  4. Step 4: Simplify right side
    765,051.12x = 444,332,719,210.37
  5. Step 5: Solve for x
    x = 444,332,719,210.37/765,051.12
  6. Step 6: Final answer
    x = 580,788.27

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1.5x scale

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.