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Finding the Fourth Proportional to 495,232.64, 683,436.48 and 280,368.80

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Solution

The fourth proportional to 495,232.64, 683,436.48 and 280,368.80 is: 386,917.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,232.64 : 683,436.48 = 280,368.80 : x
  2. Step 2: Convert to fraction form
    495,232.64/683,436.48 = 280,368.80/x
  3. Step 3: Cross multiply
    495,232.64x = 683,436.48 × 280,368.80
  4. Step 4: Simplify right side
    495,232.64x = 191,614,265,773.82
  5. Step 5: Solve for x
    x = 191,614,265,773.82/495,232.64
  6. Step 6: Final answer
    x = 386,917.68

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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.