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Finding the Fourth Proportional to 509,877.34, 703,650.80 and 280,455.97

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Solution

The fourth proportional to 509,877.34, 703,650.80 and 280,455.97 is: 387,040.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,877.34 : 703,650.80 = 280,455.97 : x
  2. Step 2: Convert to fraction form
    509,877.34/703,650.80 = 280,455.97/x
  3. Step 3: Cross multiply
    509,877.34x = 703,650.80 × 280,455.97
  4. Step 4: Simplify right side
    509,877.34x = 197,343,066,135.19
  5. Step 5: Solve for x
    x = 197,343,066,135.19/509,877.34
  6. Step 6: Final answer
    x = 387,040.28

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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.