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Finding the Fourth Proportional to 495,692.75, 684,047.14 and 280,828.20

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Solution

The fourth proportional to 495,692.75, 684,047.14 and 280,828.20 is: 387,537.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,692.75 : 684,047.14 = 280,828.20 : x
  2. Step 2: Convert to fraction form
    495,692.75/684,047.14 = 280,828.20/x
  3. Step 3: Cross multiply
    495,692.75x = 684,047.14 × 280,828.20
  4. Step 4: Simplify right side
    495,692.75x = 192,099,727,041.35
  5. Step 5: Solve for x
    x = 192,099,727,041.35/495,692.75
  6. Step 6: Final answer
    x = 387,537.90

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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.