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Finding the Fourth Proportional to 557,878.50, 769,869.45 and 303,231.06

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Solution

The fourth proportional to 557,878.50, 769,869.45 and 303,231.06 is: 418,457.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,878.50 : 769,869.45 = 303,231.06 : x
  2. Step 2: Convert to fraction form
    557,878.50/769,869.45 = 303,231.06/x
  3. Step 3: Cross multiply
    557,878.50x = 769,869.45 × 303,231.06
  4. Step 4: Simplify right side
    557,878.50x = 233,448,329,385.12
  5. Step 5: Solve for x
    x = 233,448,329,385.12/557,878.50
  6. Step 6: Final answer
    x = 418,457.30

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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.