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Finding the Fourth Proportional to 505,397, 696,617.28 and 358,272

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Solution

The fourth proportional to 505,397, 696,617.28 and 358,272 is: 493,826.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,397 : 696,617.28 = 358,272 : x
  2. Step 2: Convert to fraction form
    505,397/696,617.28 = 358,272/x
  3. Step 3: Cross multiply
    505,397x = 696,617.28 × 358,272
  4. Step 4: Simplify right side
    505,397x = 249,578,466,140.16
  5. Step 5: Solve for x
    x = 249,578,466,140.16/505,397
  6. Step 6: Final answer
    x = 493,826.57

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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.