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Finding the Fourth Proportional to 403,090.16, 604,739.12 and 289,369.80

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Solution

The fourth proportional to 403,090.16, 604,739.12 and 289,369.80 is: 434,129.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,090.16 : 604,739.12 = 289,369.80 : x
  2. Step 2: Convert to fraction form
    403,090.16/604,739.12 = 289,369.80/x
  3. Step 3: Cross multiply
    403,090.16x = 604,739.12 × 289,369.80
  4. Step 4: Simplify right side
    403,090.16x = 174,993,238,206.58
  5. Step 5: Solve for x
    x = 174,993,238,206.58/403,090.16
  6. Step 6: Final answer
    x = 434,129.27

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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.