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Finding the Fourth Proportional to 495,707.45, 684,049.46 and 280,842.80

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Solution

The fourth proportional to 495,707.45, 684,049.46 and 280,842.80 is: 387,547.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,707.45 : 684,049.46 = 280,842.80 : x
  2. Step 2: Convert to fraction form
    495,707.45/684,049.46 = 280,842.80/x
  3. Step 3: Cross multiply
    495,707.45x = 684,049.46 × 280,842.80
  4. Step 4: Simplify right side
    495,707.45x = 192,110,360,860.43
  5. Step 5: Solve for x
    x = 192,110,360,860.43/495,707.45
  6. Step 6: Final answer
    x = 387,547.86

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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.