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Finding the Fourth Proportional to 403,092.16, 604,742.12 and 289,371.80

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Solution

The fourth proportional to 403,092.16, 604,742.12 and 289,371.80 is: 434,132.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,092.16 : 604,742.12 = 289,371.80 : x
  2. Step 2: Convert to fraction form
    403,092.16/604,742.12 = 289,371.80/x
  3. Step 3: Cross multiply
    403,092.16x = 604,742.12 × 289,371.80
  4. Step 4: Simplify right side
    403,092.16x = 174,995,315,800.22
  5. Step 5: Solve for x
    x = 174,995,315,800.22/403,092.16
  6. Step 6: Final answer
    x = 434,132.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.