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Finding the Fourth Proportional to 460,083.96, 634,860.72 and 256,086

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Solution

The fourth proportional to 460,083.96, 634,860.72 and 256,086 is: 353,367.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,083.96 : 634,860.72 = 256,086 : x
  2. Step 2: Convert to fraction form
    460,083.96/634,860.72 = 256,086/x
  3. Step 3: Cross multiply
    460,083.96x = 634,860.72 × 256,086
  4. Step 4: Simplify right side
    460,083.96x = 162,578,942,341.92
  5. Step 5: Solve for x
    x = 162,578,942,341.92/460,083.96
  6. Step 6: Final answer
    x = 353,367.99

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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.