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Finding the Fourth Proportional to 495,710.60, 684,081.32 and 280,865.20

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Solution

The fourth proportional to 495,710.60, 684,081.32 and 280,865.20 is: 387,594.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,710.60 : 684,081.32 = 280,865.20 : x
  2. Step 2: Convert to fraction form
    495,710.60/684,081.32 = 280,865.20/x
  3. Step 3: Cross multiply
    495,710.60x = 684,081.32 × 280,865.20
  4. Step 4: Simplify right side
    495,710.60x = 192,134,636,758.06
  5. Step 5: Solve for x
    x = 192,134,636,758.06/495,710.60
  6. Step 6: Final answer
    x = 387,594.37

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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.