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Finding the Fourth Proportional to 1,170,120, 1,755,180 and 283,656

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Solution

The fourth proportional to 1,170,120, 1,755,180 and 283,656 is: 425,484

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170,120 : 1,755,180 = 283,656 : x
  2. Step 2: Convert to fraction form
    1,170,120/1,755,180 = 283,656/x
  3. Step 3: Cross multiply
    1,170,120x = 1,755,180 × 283,656
  4. Step 4: Simplify right side
    1,170,120x = 497,867,338,080
  5. Step 5: Solve for x
    x = 497,867,338,080/1,170,120
  6. Step 6: Final answer
    x = 425,484

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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.