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Finding the Fourth Proportional to 509,268.30, 702,526.71 and 345,933.21

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Solution

The fourth proportional to 509,268.30, 702,526.71 and 345,933.21 is: 477,208.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,268.30 : 702,526.71 = 345,933.21 : x
  2. Step 2: Convert to fraction form
    509,268.30/702,526.71 = 345,933.21/x
  3. Step 3: Cross multiply
    509,268.30x = 702,526.71 × 345,933.21
  4. Step 4: Simplify right side
    509,268.30x = 243,027,319,901.04
  5. Step 5: Solve for x
    x = 243,027,319,901.04/509,268.30
  6. Step 6: Final answer
    x = 477,208.81

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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.