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Finding the Fourth Proportional to 495,657.36, 684,041 and 280,799.19

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Solution

The fourth proportional to 495,657.36, 684,041 and 280,799.19 is: 387,522.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,657.36 : 684,041 = 280,799.19 : x
  2. Step 2: Convert to fraction form
    495,657.36/684,041 = 280,799.19/x
  3. Step 3: Cross multiply
    495,657.36x = 684,041 × 280,799.19
  4. Step 4: Simplify right side
    495,657.36x = 192,078,158,726.79
  5. Step 5: Solve for x
    x = 192,078,158,726.79/495,657.36
  6. Step 6: Final answer
    x = 387,522.06

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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.