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Finding the Fourth Proportional to 495,166.86, 683,346.65 and 280,302.48

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Solution

The fourth proportional to 495,166.86, 683,346.65 and 280,302.48 is: 386,826.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,166.86 : 683,346.65 = 280,302.48 : x
  2. Step 2: Convert to fraction form
    495,166.86/683,346.65 = 280,302.48/x
  3. Step 3: Cross multiply
    495,166.86x = 683,346.65 × 280,302.48
  4. Step 4: Simplify right side
    495,166.86x = 191,543,759,293.18
  5. Step 5: Solve for x
    x = 191,543,759,293.18/495,166.86
  6. Step 6: Final answer
    x = 386,826.69

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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.