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Finding the Fourth Proportional to 509,196.84, 702,713.88 and 282,842.34

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Solution

The fourth proportional to 509,196.84, 702,713.88 and 282,842.34 is: 390,334.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,196.84 : 702,713.88 = 282,842.34 : x
  2. Step 2: Convert to fraction form
    509,196.84/702,713.88 = 282,842.34/x
  3. Step 3: Cross multiply
    509,196.84x = 702,713.88 × 282,842.34
  4. Step 4: Simplify right side
    509,196.84x = 198,757,238,169.68
  5. Step 5: Solve for x
    x = 198,757,238,169.68/509,196.84
  6. Step 6: Final answer
    x = 390,334.78

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1.5x scale

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.