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Finding the Fourth Proportional to 413,856, 620,784 and 118,368

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Solution

The fourth proportional to 413,856, 620,784 and 118,368 is: 177,552

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,856 : 620,784 = 118,368 : x
  2. Step 2: Convert to fraction form
    413,856/620,784 = 118,368/x
  3. Step 3: Cross multiply
    413,856x = 620,784 × 118,368
  4. Step 4: Simplify right side
    413,856x = 73,480,960,512
  5. Step 5: Solve for x
    x = 73,480,960,512/413,856
  6. Step 6: Final answer
    x = 177,552

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.