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Finding the Fourth Proportional to 516,205, 712,476.66 and 286,840.96

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Solution

The fourth proportional to 516,205, 712,476.66 and 286,840.96 is: 395,903.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,205 : 712,476.66 = 286,840.96 : x
  2. Step 2: Convert to fraction form
    516,205/712,476.66 = 286,840.96/x
  3. Step 3: Cross multiply
    516,205x = 712,476.66 × 286,840.96
  4. Step 4: Simplify right side
    516,205x = 204,367,489,131.99
  5. Step 5: Solve for x
    x = 204,367,489,131.99/516,205
  6. Step 6: Final answer
    x = 395,903.74

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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.