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Finding the Fourth Proportional to 553,784.29, 764,222.66 and 299,135.59

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Solution

The fourth proportional to 553,784.29, 764,222.66 and 299,135.59 is: 412,807.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,784.29 : 764,222.66 = 299,135.59 : x
  2. Step 2: Convert to fraction form
    553,784.29/764,222.66 = 299,135.59/x
  3. Step 3: Cross multiply
    553,784.29x = 764,222.66 × 299,135.59
  4. Step 4: Simplify right side
    553,784.29x = 228,606,194,794.79
  5. Step 5: Solve for x
    x = 228,606,194,794.79/553,784.29
  6. Step 6: Final answer
    x = 412,807.30

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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.