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Finding the Fourth Proportional to 557,953.82, 770,117.51 and 343,286.10

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Solution

The fourth proportional to 557,953.82, 770,117.51 and 343,286.10 is: 473,821.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,953.82 : 770,117.51 = 343,286.10 : x
  2. Step 2: Convert to fraction form
    557,953.82/770,117.51 = 343,286.10/x
  3. Step 3: Cross multiply
    557,953.82x = 770,117.51 × 343,286.10
  4. Step 4: Simplify right side
    557,953.82x = 264,370,634,833.18
  5. Step 5: Solve for x
    x = 264,370,634,833.18/557,953.82
  6. Step 6: Final answer
    x = 473,821.72

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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.