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Finding the Fourth Proportional to 553,930.16, 764,423.88 and 299,281.28

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Solution

The fourth proportional to 553,930.16, 764,423.88 and 299,281.28 is: 413,008.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,930.16 : 764,423.88 = 299,281.28 : x
  2. Step 2: Convert to fraction form
    553,930.16/764,423.88 = 299,281.28/x
  3. Step 3: Cross multiply
    553,930.16x = 764,423.88 × 299,281.28
  4. Step 4: Simplify right side
    553,930.16x = 228,777,757,268.97
  5. Step 5: Solve for x
    x = 228,777,757,268.97/553,930.16
  6. Step 6: Final answer
    x = 413,008.31

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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.