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Finding the Fourth Proportional to 505,393, 696,611.76 and 358,268

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Solution

The fourth proportional to 505,393, 696,611.76 and 358,268 is: 493,821.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,393 : 696,611.76 = 358,268 : x
  2. Step 2: Convert to fraction form
    505,393/696,611.76 = 358,268/x
  3. Step 3: Cross multiply
    505,393x = 696,611.76 × 358,268
  4. Step 4: Simplify right side
    505,393x = 249,573,702,031.68
  5. Step 5: Solve for x
    x = 249,573,702,031.68/505,393
  6. Step 6: Final answer
    x = 493,821.05

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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.