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Finding the Fourth Proportional to 710,677.29, 980,734.77 and 404,782.16

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Solution

The fourth proportional to 710,677.29, 980,734.77 and 404,782.16 is: 558,599.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,677.29 : 980,734.77 = 404,782.16 : x
  2. Step 2: Convert to fraction form
    710,677.29/980,734.77 = 404,782.16/x
  3. Step 3: Cross multiply
    710,677.29x = 980,734.77 × 404,782.16
  4. Step 4: Simplify right side
    710,677.29x = 396,983,933,684.03
  5. Step 5: Solve for x
    x = 396,983,933,684.03/710,677.29
  6. Step 6: Final answer
    x = 558,599.44

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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.