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Finding the Fourth Proportional to 513,431.60, 708,532.43 and 283,984.77

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Solution

The fourth proportional to 513,431.60, 708,532.43 and 283,984.77 is: 391,897.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,431.60 : 708,532.43 = 283,984.77 : x
  2. Step 2: Convert to fraction form
    513,431.60/708,532.43 = 283,984.77/x
  3. Step 3: Cross multiply
    513,431.60x = 708,532.43 × 283,984.77
  4. Step 4: Simplify right side
    513,431.60x = 201,212,419,171.09
  5. Step 5: Solve for x
    x = 201,212,419,171.09/513,431.60
  6. Step 6: Final answer
    x = 391,897.22

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1.5x scale

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.