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Finding the Fourth Proportional to 495,436.50, 683,679.49 and 280,578.10

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Solution

The fourth proportional to 495,436.50, 683,679.49 and 280,578.10 is: 387,184.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,436.50 : 683,679.49 = 280,578.10 : x
  2. Step 2: Convert to fraction form
    495,436.50/683,679.49 = 280,578.10/x
  3. Step 3: Cross multiply
    495,436.50x = 683,679.49 × 280,578.10
  4. Step 4: Simplify right side
    495,436.50x = 191,825,492,313.17
  5. Step 5: Solve for x
    x = 191,825,492,313.17/495,436.50
  6. Step 6: Final answer
    x = 387,184.82

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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.