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Finding the Fourth Proportional to 505,403, 696,625.56 and 358,278

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Solution

The fourth proportional to 505,403, 696,625.56 and 358,278 is: 493,834.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,403 : 696,625.56 = 358,278 : x
  2. Step 2: Convert to fraction form
    505,403/696,625.56 = 358,278/x
  3. Step 3: Cross multiply
    505,403x = 696,625.56 × 358,278
  4. Step 4: Simplify right side
    505,403x = 249,585,612,385.68
  5. Step 5: Solve for x
    x = 249,585,612,385.68/505,403
  6. Step 6: Final answer
    x = 493,834.85

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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.