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Finding the Fourth Proportional to 495,726.28, 684,100.49 and 280,907.39

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Solution

The fourth proportional to 495,726.28, 684,100.49 and 280,907.39 is: 387,651.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,726.28 : 684,100.49 = 280,907.39 : x
  2. Step 2: Convert to fraction form
    495,726.28/684,100.49 = 280,907.39/x
  3. Step 3: Cross multiply
    495,726.28x = 684,100.49 × 280,907.39
  4. Step 4: Simplify right side
    495,726.28x = 192,168,883,449.34
  5. Step 5: Solve for x
    x = 192,168,883,449.34/495,726.28
  6. Step 6: Final answer
    x = 387,651.19

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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.