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Finding the Fourth Proportional to 495,345.78, 683,579.81 and 280,527.66

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Solution

The fourth proportional to 495,345.78, 683,579.81 and 280,527.66 is: 387,129.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,345.78 : 683,579.81 = 280,527.66 : x
  2. Step 2: Convert to fraction form
    495,345.78/683,579.81 = 280,527.66/x
  3. Step 3: Cross multiply
    495,345.78x = 683,579.81 × 280,527.66
  4. Step 4: Simplify right side
    495,345.78x = 191,763,043,119.91
  5. Step 5: Solve for x
    x = 191,763,043,119.91/495,345.78
  6. Step 6: Final answer
    x = 387,129.66

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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.