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Finding the Fourth Proportional to 455,081.69, 627,742.14 and 294,031.70

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Solution

The fourth proportional to 455,081.69, 627,742.14 and 294,031.70 is: 405,588.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,081.69 : 627,742.14 = 294,031.70 : x
  2. Step 2: Convert to fraction form
    455,081.69/627,742.14 = 294,031.70/x
  3. Step 3: Cross multiply
    455,081.69x = 627,742.14 × 294,031.70
  4. Step 4: Simplify right side
    455,081.69x = 184,576,085,447.13
  5. Step 5: Solve for x
    x = 184,576,085,447.13/455,081.69
  6. Step 6: Final answer
    x = 405,588.91

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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.