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Finding the Fourth Proportional to 495,393.74, 683,643.32 and 280,575.32

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Solution

The fourth proportional to 495,393.74, 683,643.32 and 280,575.32 is: 387,193.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,393.74 : 683,643.32 = 280,575.32 : x
  2. Step 2: Convert to fraction form
    495,393.74/683,643.32 = 280,575.32/x
  3. Step 3: Cross multiply
    495,393.74x = 683,643.32 × 280,575.32
  4. Step 4: Simplify right side
    495,393.74x = 191,813,443,274.86
  5. Step 5: Solve for x
    x = 191,813,443,274.86/495,393.74
  6. Step 6: Final answer
    x = 387,193.92

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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.