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Finding the Fourth Proportional to 509,605.19, 703,263.03 and 280,172.42

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Solution

The fourth proportional to 509,605.19, 703,263.03 and 280,172.42 is: 386,642.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,605.19 : 703,263.03 = 280,172.42 : x
  2. Step 2: Convert to fraction form
    509,605.19/703,263.03 = 280,172.42/x
  3. Step 3: Cross multiply
    509,605.19x = 703,263.03 × 280,172.42
  4. Step 4: Simplify right side
    509,605.19x = 197,034,905,011.63
  5. Step 5: Solve for x
    x = 197,034,905,011.63/509,605.19
  6. Step 6: Final answer
    x = 386,642.27

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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.