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Finding the Fourth Proportional to 509,267.30, 702,525.33 and 345,932.21

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Solution

The fourth proportional to 509,267.30, 702,525.33 and 345,932.21 is: 477,207.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,267.30 : 702,525.33 = 345,932.21 : x
  2. Step 2: Convert to fraction form
    509,267.30/702,525.33 = 345,932.21/x
  3. Step 3: Cross multiply
    509,267.30x = 702,525.33 × 345,932.21
  4. Step 4: Simplify right side
    509,267.30x = 243,026,141,744.19
  5. Step 5: Solve for x
    x = 243,026,141,744.19/509,267.30
  6. Step 6: Final answer
    x = 477,207.44

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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.