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Finding the Fourth Proportional to 664,013.16, 916,336.26 and 362,205

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Solution

The fourth proportional to 664,013.16, 916,336.26 and 362,205 is: 499,841.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,013.16 : 916,336.26 = 362,205 : x
  2. Step 2: Convert to fraction form
    664,013.16/916,336.26 = 362,205/x
  3. Step 3: Cross multiply
    664,013.16x = 916,336.26 × 362,205
  4. Step 4: Simplify right side
    664,013.16x = 331,901,575,053.30
  5. Step 5: Solve for x
    x = 331,901,575,053.30/664,013.16
  6. Step 6: Final answer
    x = 499,841.86

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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.