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Finding the Fourth Proportional to 523,780.40, 722,781.60 and 308,910.08

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Solution

The fourth proportional to 523,780.40, 722,781.60 and 308,910.08 is: 426,275.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,780.40 : 722,781.60 = 308,910.08 : x
  2. Step 2: Convert to fraction form
    523,780.40/722,781.60 = 308,910.08/x
  3. Step 3: Cross multiply
    523,780.40x = 722,781.60 × 308,910.08
  4. Step 4: Simplify right side
    523,780.40x = 223,274,521,878.53
  5. Step 5: Solve for x
    x = 223,274,521,878.53/523,780.40
  6. Step 6: Final answer
    x = 426,275.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.