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Finding the Fourth Proportional to 512,733.98, 707,587.16 and 283,306.05

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Solution

The fourth proportional to 512,733.98, 707,587.16 and 283,306.05 is: 390,970.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,733.98 : 707,587.16 = 283,306.05 : x
  2. Step 2: Convert to fraction form
    512,733.98/707,587.16 = 283,306.05/x
  3. Step 3: Cross multiply
    512,733.98x = 707,587.16 × 283,306.05
  4. Step 4: Simplify right side
    512,733.98x = 200,463,720,853.09
  5. Step 5: Solve for x
    x = 200,463,720,853.09/512,733.98
  6. Step 6: Final answer
    x = 390,970.23

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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.