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Finding the Fourth Proportional to 509,145.75, 702,643.01 and 282,791.25

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Solution

The fourth proportional to 509,145.75, 702,643.01 and 282,791.25 is: 390,264.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,145.75 : 702,643.01 = 282,791.25 : x
  2. Step 2: Convert to fraction form
    509,145.75/702,643.01 = 282,791.25/x
  3. Step 3: Cross multiply
    509,145.75x = 702,643.01 × 282,791.25
  4. Step 4: Simplify right side
    509,145.75x = 198,701,293,687.71
  5. Step 5: Solve for x
    x = 198,701,293,687.71/509,145.75
  6. Step 6: Final answer
    x = 390,264.07

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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.