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Finding the Fourth Proportional to 304,206.60, 455,353.17 and 208,878.91

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Solution

The fourth proportional to 304,206.60, 455,353.17 and 208,878.91 is: 312,661.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,206.60 : 455,353.17 = 208,878.91 : x
  2. Step 2: Convert to fraction form
    304,206.60/455,353.17 = 208,878.91/x
  3. Step 3: Cross multiply
    304,206.60x = 455,353.17 × 208,878.91
  4. Step 4: Simplify right side
    304,206.60x = 95,113,673,814.64
  5. Step 5: Solve for x
    x = 95,113,673,814.64/304,206.60
  6. Step 6: Final answer
    x = 312,661.44

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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.