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Finding the Fourth Proportional to 495,667.18, 684,007.80 and 280,801.72

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Solution

The fourth proportional to 495,667.18, 684,007.80 and 280,801.72 is: 387,499.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,667.18 : 684,007.80 = 280,801.72 : x
  2. Step 2: Convert to fraction form
    495,667.18/684,007.80 = 280,801.72/x
  3. Step 3: Cross multiply
    495,667.18x = 684,007.80 × 280,801.72
  4. Step 4: Simplify right side
    495,667.18x = 192,070,566,733.42
  5. Step 5: Solve for x
    x = 192,070,566,733.42/495,667.18
  6. Step 6: Final answer
    x = 387,499.06

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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.