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Finding the Fourth Proportional to 495,712.59, 684,081.69 and 280,893.60

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Solution

The fourth proportional to 495,712.59, 684,081.69 and 280,893.60 is: 387,632.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,712.59 : 684,081.69 = 280,893.60 : x
  2. Step 2: Convert to fraction form
    495,712.59/684,081.69 = 280,893.60/x
  3. Step 3: Cross multiply
    495,712.59x = 684,081.69 × 280,893.60
  4. Step 4: Simplify right side
    495,712.59x = 192,154,168,598.18
  5. Step 5: Solve for x
    x = 192,154,168,598.18/495,712.59
  6. Step 6: Final answer
    x = 387,632.21

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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.