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Finding the Fourth Proportional to 403,171.80, 604,239.30 and 309,211.80

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Solution

The fourth proportional to 403,171.80, 604,239.30 and 309,211.80 is: 463,420.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,171.80 : 604,239.30 = 309,211.80 : x
  2. Step 2: Convert to fraction form
    403,171.80/604,239.30 = 309,211.80/x
  3. Step 3: Cross multiply
    403,171.80x = 604,239.30 × 309,211.80
  4. Step 4: Simplify right side
    403,171.80x = 186,837,921,583.74
  5. Step 5: Solve for x
    x = 186,837,921,583.74/403,171.80
  6. Step 6: Final answer
    x = 463,420.11

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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.