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Finding the Fourth Proportional to 509,181.97, 702,693.35 and 282,827.47

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Solution

The fourth proportional to 509,181.97, 702,693.35 and 282,827.47 is: 390,314.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,181.97 : 702,693.35 = 282,827.47 : x
  2. Step 2: Convert to fraction form
    509,181.97/702,693.35 = 282,827.47/x
  3. Step 3: Cross multiply
    509,181.97x = 702,693.35 × 282,827.47
  4. Step 4: Simplify right side
    509,181.97x = 198,740,982,366.32
  5. Step 5: Solve for x
    x = 198,740,982,366.32/509,181.97
  6. Step 6: Final answer
    x = 390,314.26

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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.