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Finding the Fourth Proportional to 455,238.20, 627,575.76 and 358,274

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Solution

The fourth proportional to 455,238.20, 627,575.76 and 358,274 is: 493,904.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,238.20 : 627,575.76 = 358,274 : x
  2. Step 2: Convert to fraction form
    455,238.20/627,575.76 = 358,274/x
  3. Step 3: Cross multiply
    455,238.20x = 627,575.76 × 358,274
  4. Step 4: Simplify right side
    455,238.20x = 224,844,077,838.24
  5. Step 5: Solve for x
    x = 224,844,077,838.24/455,238.20
  6. Step 6: Final answer
    x = 493,904.24

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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.