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Finding the Fourth Proportional to 407,403.69, 562,320.44 and 278,394.38

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Solution

The fourth proportional to 407,403.69, 562,320.44 and 278,394.38 is: 384,254.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,403.69 : 562,320.44 = 278,394.38 : x
  2. Step 2: Convert to fraction form
    407,403.69/562,320.44 = 278,394.38/x
  3. Step 3: Cross multiply
    407,403.69x = 562,320.44 × 278,394.38
  4. Step 4: Simplify right side
    407,403.69x = 156,546,849,212.01
  5. Step 5: Solve for x
    x = 156,546,849,212.01/407,403.69
  6. Step 6: Final answer
    x = 384,254.87

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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.