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Finding the Fourth Proportional to 320,673.65, 442,336.77 and 211,779

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Solution

The fourth proportional to 320,673.65, 442,336.77 and 211,779 is: 292,127.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,673.65 : 442,336.77 = 211,779 : x
  2. Step 2: Convert to fraction form
    320,673.65/442,336.77 = 211,779/x
  3. Step 3: Cross multiply
    320,673.65x = 442,336.77 × 211,779
  4. Step 4: Simplify right side
    320,673.65x = 93,677,638,813.83
  5. Step 5: Solve for x
    x = 93,677,638,813.83/320,673.65
  6. Step 6: Final answer
    x = 292,127.65

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1.5x scale

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.