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Finding the Fourth Proportional to 509,655.58, 703,332.50 and 280,222.80

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Solution

The fourth proportional to 509,655.58, 703,332.50 and 280,222.80 is: 386,711.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,655.58 : 703,332.50 = 280,222.80 : x
  2. Step 2: Convert to fraction form
    509,655.58/703,332.50 = 280,222.80/x
  3. Step 3: Cross multiply
    509,655.58x = 703,332.50 × 280,222.80
  4. Step 4: Simplify right side
    509,655.58x = 197,089,802,481
  5. Step 5: Solve for x
    x = 197,089,802,481/509,655.58
  6. Step 6: Final answer
    x = 386,711.75

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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.