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Finding the Fourth Proportional to 505,389, 696,606.24 and 358,264

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Solution

The fourth proportional to 505,389, 696,606.24 and 358,264 is: 493,815.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,389 : 696,606.24 = 358,264 : x
  2. Step 2: Convert to fraction form
    505,389/696,606.24 = 358,264/x
  3. Step 3: Cross multiply
    505,389x = 696,606.24 × 358,264
  4. Step 4: Simplify right side
    505,389x = 249,568,937,967.36
  5. Step 5: Solve for x
    x = 249,568,937,967.36/505,389
  6. Step 6: Final answer
    x = 493,815.53

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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.