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Finding the Fourth Proportional to 516,212.22, 712,348.62 and 286,784.30

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Solution

The fourth proportional to 516,212.22, 712,348.62 and 286,784.30 is: 395,748.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,212.22 : 712,348.62 = 286,784.30 : x
  2. Step 2: Convert to fraction form
    516,212.22/712,348.62 = 286,784.30/x
  3. Step 3: Cross multiply
    516,212.22x = 712,348.62 × 286,784.30
  4. Step 4: Simplify right side
    516,212.22x = 204,290,400,342.67
  5. Step 5: Solve for x
    x = 204,290,400,342.67/516,212.22
  6. Step 6: Final answer
    x = 395,748.87

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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.