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Finding the Fourth Proportional to 509,396.60, 702,964.95 and 291,604.07

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Solution

The fourth proportional to 509,396.60, 702,964.95 and 291,604.07 is: 402,412.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,396.60 : 702,964.95 = 291,604.07 : x
  2. Step 2: Convert to fraction form
    509,396.60/702,964.95 = 291,604.07/x
  3. Step 3: Cross multiply
    509,396.60x = 702,964.95 × 291,604.07
  4. Step 4: Simplify right side
    509,396.60x = 204,987,440,487.35
  5. Step 5: Solve for x
    x = 204,987,440,487.35/509,396.60
  6. Step 6: Final answer
    x = 402,412.27

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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.