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Finding the Fourth Proportional to 557,977.40, 769,999.72 and 303,335

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Solution

The fourth proportional to 557,977.40, 769,999.72 and 303,335 is: 418,597.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,977.40 : 769,999.72 = 303,335 : x
  2. Step 2: Convert to fraction form
    557,977.40/769,999.72 = 303,335/x
  3. Step 3: Cross multiply
    557,977.40x = 769,999.72 × 303,335
  4. Step 4: Simplify right side
    557,977.40x = 233,567,865,066.20
  5. Step 5: Solve for x
    x = 233,567,865,066.20/557,977.40
  6. Step 6: Final answer
    x = 418,597.36

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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.