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Finding the Fourth Proportional to 295,651.62, 407,878.42 and 218,312.58

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Solution

The fourth proportional to 295,651.62, 407,878.42 and 218,312.58 is: 301,182.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,651.62 : 407,878.42 = 218,312.58 : x
  2. Step 2: Convert to fraction form
    295,651.62/407,878.42 = 218,312.58/x
  3. Step 3: Cross multiply
    295,651.62x = 407,878.42 × 218,312.58
  4. Step 4: Simplify right side
    295,651.62x = 89,044,990,196.52
  5. Step 5: Solve for x
    x = 89,044,990,196.52/295,651.62
  6. Step 6: Final answer
    x = 301,182.15

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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.