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Finding the Fourth Proportional to 513,466.48, 708,529.21 and 283,987.30

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Solution

The fourth proportional to 513,466.48, 708,529.21 and 283,987.30 is: 391,872.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,466.48 : 708,529.21 = 283,987.30 : x
  2. Step 2: Convert to fraction form
    513,466.48/708,529.21 = 283,987.30/x
  3. Step 3: Cross multiply
    513,466.48x = 708,529.21 × 283,987.30
  4. Step 4: Simplify right side
    513,466.48x = 201,213,297,319.03
  5. Step 5: Solve for x
    x = 201,213,297,319.03/513,466.48
  6. Step 6: Final answer
    x = 391,872.31

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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.