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Finding the Fourth Proportional to 495,776.74, 684,116.26 and 280,870.78

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Solution

The fourth proportional to 495,776.74, 684,116.26 and 280,870.78 is: 387,570.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,776.74 : 684,116.26 = 280,870.78 : x
  2. Step 2: Convert to fraction form
    495,776.74/684,116.26 = 280,870.78/x
  3. Step 3: Cross multiply
    495,776.74x = 684,116.26 × 280,870.78
  4. Step 4: Simplify right side
    495,776.74x = 192,148,267,556.88
  5. Step 5: Solve for x
    x = 192,148,267,556.88/495,776.74
  6. Step 6: Final answer
    x = 387,570.15

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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.