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Finding the Fourth Proportional to 495,053.37, 683,056.55 and 280,193.43

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Solution

The fourth proportional to 495,053.37, 683,056.55 and 280,193.43 is: 386,600.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,053.37 : 683,056.55 = 280,193.43 : x
  2. Step 2: Convert to fraction form
    495,053.37/683,056.55 = 280,193.43/x
  3. Step 3: Cross multiply
    495,053.37x = 683,056.55 × 280,193.43
  4. Step 4: Simplify right side
    495,053.37x = 191,387,958,125.17
  5. Step 5: Solve for x
    x = 191,387,958,125.17/495,053.37
  6. Step 6: Final answer
    x = 386,600.66

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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.