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Finding the Fourth Proportional to 495,864.66, 684,307.67 and 280,997.58

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Solution

The fourth proportional to 495,864.66, 684,307.67 and 280,997.58 is: 387,784.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,864.66 : 684,307.67 = 280,997.58 : x
  2. Step 2: Convert to fraction form
    495,864.66/684,307.67 = 280,997.58/x
  3. Step 3: Cross multiply
    495,864.66x = 684,307.67 × 280,997.58
  4. Step 4: Simplify right side
    495,864.66x = 192,288,797,840.45
  5. Step 5: Solve for x
    x = 192,288,797,840.45/495,864.66
  6. Step 6: Final answer
    x = 387,784.84

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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.