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Finding the Fourth Proportional to 418,823.60, 626,699.40 and 308,231.60

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Solution

The fourth proportional to 418,823.60, 626,699.40 and 308,231.60 is: 461,216.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,823.60 : 626,699.40 = 308,231.60 : x
  2. Step 2: Convert to fraction form
    418,823.60/626,699.40 = 308,231.60/x
  3. Step 3: Cross multiply
    418,823.60x = 626,699.40 × 308,231.60
  4. Step 4: Simplify right side
    418,823.60x = 193,168,558,781.04
  5. Step 5: Solve for x
    x = 193,168,558,781.04/418,823.60
  6. Step 6: Final answer
    x = 461,216.99

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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.