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Finding the Fourth Proportional to 493,519.68, 681,069.60 and 302,638.32

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Solution

The fourth proportional to 493,519.68, 681,069.60 and 302,638.32 is: 417,648.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,519.68 : 681,069.60 = 302,638.32 : x
  2. Step 2: Convert to fraction form
    493,519.68/681,069.60 = 302,638.32/x
  3. Step 3: Cross multiply
    493,519.68x = 681,069.60 × 302,638.32
  4. Step 4: Simplify right side
    493,519.68x = 206,117,759,547.07
  5. Step 5: Solve for x
    x = 206,117,759,547.07/493,519.68
  6. Step 6: Final answer
    x = 417,648.51

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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.