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Finding the Fourth Proportional to 509,117.88, 702,570.42 and 282,763.56

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Solution

The fourth proportional to 509,117.88, 702,570.42 and 282,763.56 is: 390,206.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,117.88 : 702,570.42 = 282,763.56 : x
  2. Step 2: Convert to fraction form
    509,117.88/702,570.42 = 282,763.56/x
  3. Step 3: Cross multiply
    509,117.88x = 702,570.42 × 282,763.56
  4. Step 4: Simplify right side
    509,117.88x = 198,661,313,109.90
  5. Step 5: Solve for x
    x = 198,661,313,109.90/509,117.88
  6. Step 6: Final answer
    x = 390,206.91

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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.