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Finding the Fourth Proportional to 407,909.82, 562,461.77 and 278,869.38

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Solution

The fourth proportional to 407,909.82, 562,461.77 and 278,869.38 is: 384,529.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,909.82 : 562,461.77 = 278,869.38 : x
  2. Step 2: Convert to fraction form
    407,909.82/562,461.77 = 278,869.38/x
  3. Step 3: Cross multiply
    407,909.82x = 562,461.77 × 278,869.38
  4. Step 4: Simplify right side
    407,909.82x = 156,853,366,825.39
  5. Step 5: Solve for x
    x = 156,853,366,825.39/407,909.82
  6. Step 6: Final answer
    x = 384,529.52

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1.5x scale

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.