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Finding the Fourth Proportional to 495,712.73, 684,099.59 and 280,848.20

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Solution

The fourth proportional to 495,712.73, 684,099.59 and 280,848.20 is: 387,579.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,712.73 : 684,099.59 = 280,848.20 : x
  2. Step 2: Convert to fraction form
    495,712.73/684,099.59 = 280,848.20/x
  3. Step 3: Cross multiply
    495,712.73x = 684,099.59 × 280,848.20
  4. Step 4: Simplify right side
    495,712.73x = 192,128,133,647.50
  5. Step 5: Solve for x
    x = 192,128,133,647.50/495,712.73
  6. Step 6: Final answer
    x = 387,579.58

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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.