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Finding the Fourth Proportional to 515,691.40, 711,643.08 and 286,235.32

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Solution

The fourth proportional to 515,691.40, 711,643.08 and 286,235.32 is: 394,998.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,691.40 : 711,643.08 = 286,235.32 : x
  2. Step 2: Convert to fraction form
    515,691.40/711,643.08 = 286,235.32/x
  3. Step 3: Cross multiply
    515,691.40x = 711,643.08 × 286,235.32
  4. Step 4: Simplify right side
    515,691.40x = 203,697,384,729.59
  5. Step 5: Solve for x
    x = 203,697,384,729.59/515,691.40
  6. Step 6: Final answer
    x = 394,998.61

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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.