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Finding the Fourth Proportional to 389,547.09, 585,348.09 and 209,765.43

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Solution

The fourth proportional to 389,547.09, 585,348.09 and 209,765.43 is: 315,201.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,547.09 : 585,348.09 = 209,765.43 : x
  2. Step 2: Convert to fraction form
    389,547.09/585,348.09 = 209,765.43/x
  3. Step 3: Cross multiply
    389,547.09x = 585,348.09 × 209,765.43
  4. Step 4: Simplify right side
    389,547.09x = 122,785,793,798.53
  5. Step 5: Solve for x
    x = 122,785,793,798.53/389,547.09
  6. Step 6: Final answer
    x = 315,201.41

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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.