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Finding the Fourth Proportional to 403,859.40, 604,476.90 and 314,629.80

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Solution

The fourth proportional to 403,859.40, 604,476.90 and 314,629.80 is: 470,922.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,859.40 : 604,476.90 = 314,629.80 : x
  2. Step 2: Convert to fraction form
    403,859.40/604,476.90 = 314,629.80/x
  3. Step 3: Cross multiply
    403,859.40x = 604,476.90 × 314,629.80
  4. Step 4: Simplify right side
    403,859.40x = 190,186,446,151.62
  5. Step 5: Solve for x
    x = 190,186,446,151.62/403,859.40
  6. Step 6: Final answer
    x = 470,922.42

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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.