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Finding the Fourth Proportional to 495,053.87, 683,057.24 and 280,193.93

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Solution

The fourth proportional to 495,053.87, 683,057.24 and 280,193.93 is: 386,601.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,053.87 : 683,057.24 = 280,193.93 : x
  2. Step 2: Convert to fraction form
    495,053.87/683,057.24 = 280,193.93/x
  3. Step 3: Cross multiply
    495,053.87x = 683,057.24 × 280,193.93
  4. Step 4: Simplify right side
    495,053.87x = 191,388,492,490.55
  5. Step 5: Solve for x
    x = 191,388,492,490.55/495,053.87
  6. Step 6: Final answer
    x = 386,601.35

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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.