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Finding the Fourth Proportional to 789,892, 1,090,051.68 and 432,196

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Solution

The fourth proportional to 789,892, 1,090,051.68 and 432,196 is: 596,430.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,892 : 1,090,051.68 = 432,196 : x
  2. Step 2: Convert to fraction form
    789,892/1,090,051.68 = 432,196/x
  3. Step 3: Cross multiply
    789,892x = 1,090,051.68 × 432,196
  4. Step 4: Simplify right side
    789,892x = 471,115,975,889.28
  5. Step 5: Solve for x
    x = 471,115,975,889.28/789,892
  6. Step 6: Final answer
    x = 596,430.87

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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.