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Finding the Fourth Proportional to 495,692.50, 684,059.80 and 269,338

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Solution

The fourth proportional to 495,692.50, 684,059.80 and 269,338 is: 371,688.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,692.50 : 684,059.80 = 269,338 : x
  2. Step 2: Convert to fraction form
    495,692.50/684,059.80 = 269,338/x
  3. Step 3: Cross multiply
    495,692.50x = 684,059.80 × 269,338
  4. Step 4: Simplify right side
    495,692.50x = 184,243,298,412.40
  5. Step 5: Solve for x
    x = 184,243,298,412.40/495,692.50
  6. Step 6: Final answer
    x = 371,688.69

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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.