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Finding the Fourth Proportional to 509,082.93, 702,536.09 and 282,728.43

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Solution

The fourth proportional to 509,082.93, 702,536.09 and 282,728.43 is: 390,166.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,082.93 : 702,536.09 = 282,728.43 : x
  2. Step 2: Convert to fraction form
    509,082.93/702,536.09 = 282,728.43/x
  3. Step 3: Cross multiply
    509,082.93x = 702,536.09 × 282,728.43
  4. Step 4: Simplify right side
    509,082.93x = 198,626,924,330.40
  5. Step 5: Solve for x
    x = 198,626,924,330.40/509,082.93
  6. Step 6: Final answer
    x = 390,166.15

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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.