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Finding the Fourth Proportional to 503,982.24, 695,374.56 and 286,142.64

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Solution

The fourth proportional to 503,982.24, 695,374.56 and 286,142.64 is: 394,808.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,982.24 : 695,374.56 = 286,142.64 : x
  2. Step 2: Convert to fraction form
    503,982.24/695,374.56 = 286,142.64/x
  3. Step 3: Cross multiply
    503,982.24x = 695,374.56 × 286,142.64
  4. Step 4: Simplify right side
    503,982.24x = 198,976,312,387.24
  5. Step 5: Solve for x
    x = 198,976,312,387.24/503,982.24
  6. Step 6: Final answer
    x = 394,808.18

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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.