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Finding the Fourth Proportional to 509,268.80, 702,527.40 and 345,933.72

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Solution

The fourth proportional to 509,268.80, 702,527.40 and 345,933.72 is: 477,209.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,268.80 : 702,527.40 = 345,933.72 : x
  2. Step 2: Convert to fraction form
    509,268.80/702,527.40 = 345,933.72/x
  3. Step 3: Cross multiply
    509,268.80x = 702,527.40 × 345,933.72
  4. Step 4: Simplify right side
    509,268.80x = 243,027,916,883.93
  5. Step 5: Solve for x
    x = 243,027,916,883.93/509,268.80
  6. Step 6: Final answer
    x = 477,209.52

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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.