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Finding the Fourth Proportional to 509,109, 702,585 and 282,769.08

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Solution

The fourth proportional to 509,109, 702,585 and 282,769.08 is: 390,229.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,109 : 702,585 = 282,769.08 : x
  2. Step 2: Convert to fraction form
    509,109/702,585 = 282,769.08/x
  3. Step 3: Cross multiply
    509,109x = 702,585 × 282,769.08
  4. Step 4: Simplify right side
    509,109x = 198,669,314,071.80
  5. Step 5: Solve for x
    x = 198,669,314,071.80/509,109
  6. Step 6: Final answer
    x = 390,229.43

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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.