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Finding the Fourth Proportional to 513,410.83, 708,531.89 and 283,967.19

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Solution

The fourth proportional to 513,410.83, 708,531.89 and 283,967.19 is: 391,888.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,410.83 : 708,531.89 = 283,967.19 : x
  2. Step 2: Convert to fraction form
    513,410.83/708,531.89 = 283,967.19/x
  3. Step 3: Cross multiply
    513,410.83x = 708,531.89 × 283,967.19
  4. Step 4: Simplify right side
    513,410.83x = 201,199,808,408.85
  5. Step 5: Solve for x
    x = 201,199,808,408.85/513,410.83
  6. Step 6: Final answer
    x = 391,888.52

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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.