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Finding the Fourth Proportional to 509,543.81, 703,186.19 and 280,118.63

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Solution

The fourth proportional to 509,543.81, 703,186.19 and 280,118.63 is: 386,572.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,543.81 : 703,186.19 = 280,118.63 : x
  2. Step 2: Convert to fraction form
    509,543.81/703,186.19 = 280,118.63/x
  3. Step 3: Cross multiply
    509,543.81x = 703,186.19 × 280,118.63
  4. Step 4: Simplify right side
    509,543.81x = 196,975,550,819.99
  5. Step 5: Solve for x
    x = 196,975,550,819.99/509,543.81
  6. Step 6: Final answer
    x = 386,572.35

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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.