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Finding the Fourth Proportional to 509,474.34, 703,059.82 and 291,675.74

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Solution

The fourth proportional to 509,474.34, 703,059.82 and 291,675.74 is: 402,504.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,474.34 : 703,059.82 = 291,675.74 : x
  2. Step 2: Convert to fraction form
    509,474.34/703,059.82 = 291,675.74/x
  3. Step 3: Cross multiply
    509,474.34x = 703,059.82 × 291,675.74
  4. Step 4: Simplify right side
    509,474.34x = 205,065,489,018.28
  5. Step 5: Solve for x
    x = 205,065,489,018.28/509,474.34
  6. Step 6: Final answer
    x = 402,504.06

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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.