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Finding the Fourth Proportional to 569,155.82, 785,484.74 and 314,556.21

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Solution

The fourth proportional to 569,155.82, 785,484.74 and 314,556.21 is: 434,115.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,155.82 : 785,484.74 = 314,556.21 : x
  2. Step 2: Convert to fraction form
    569,155.82/785,484.74 = 314,556.21/x
  3. Step 3: Cross multiply
    569,155.82x = 785,484.74 × 314,556.21
  4. Step 4: Simplify right side
    569,155.82x = 247,079,103,613.63
  5. Step 5: Solve for x
    x = 247,079,103,613.63/569,155.82
  6. Step 6: Final answer
    x = 434,115.05

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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.