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Finding the Fourth Proportional to 557,959.54, 770,068.22 and 340,294.49

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Solution

The fourth proportional to 557,959.54, 770,068.22 and 340,294.49 is: 469,657.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,959.54 : 770,068.22 = 340,294.49 : x
  2. Step 2: Convert to fraction form
    557,959.54/770,068.22 = 340,294.49/x
  3. Step 3: Cross multiply
    557,959.54x = 770,068.22 × 340,294.49
  4. Step 4: Simplify right side
    557,959.54x = 262,049,971,691.87
  5. Step 5: Solve for x
    x = 262,049,971,691.87/557,959.54
  6. Step 6: Final answer
    x = 469,657.66

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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.