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Finding the Fourth Proportional to 509,218.80, 702,429.60 and 317,900.04

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Solution

The fourth proportional to 509,218.80, 702,429.60 and 317,900.04 is: 438,519.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,218.80 : 702,429.60 = 317,900.04 : x
  2. Step 2: Convert to fraction form
    509,218.80/702,429.60 = 317,900.04/x
  3. Step 3: Cross multiply
    509,218.80x = 702,429.60 × 317,900.04
  4. Step 4: Simplify right side
    509,218.80x = 223,302,397,937.18
  5. Step 5: Solve for x
    x = 223,302,397,937.18/509,218.80
  6. Step 6: Final answer
    x = 438,519.55

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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.