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Finding the Fourth Proportional to 557,926.40, 769,929.36 and 303,284

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Solution

The fourth proportional to 557,926.40, 769,929.36 and 303,284 is: 418,526.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,926.40 : 769,929.36 = 303,284 : x
  2. Step 2: Convert to fraction form
    557,926.40/769,929.36 = 303,284/x
  3. Step 3: Cross multiply
    557,926.40x = 769,929.36 × 303,284
  4. Step 4: Simplify right side
    557,926.40x = 233,507,256,018.24
  5. Step 5: Solve for x
    x = 233,507,256,018.24/557,926.40
  6. Step 6: Final answer
    x = 418,526.99

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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.