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Finding the Fourth Proportional to 553,133.41, 763,338.53 and 311,424.85

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Solution

The fourth proportional to 553,133.41, 763,338.53 and 311,424.85 is: 429,774.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,133.41 : 763,338.53 = 311,424.85 : x
  2. Step 2: Convert to fraction form
    553,133.41/763,338.53 = 311,424.85/x
  3. Step 3: Cross multiply
    553,133.41x = 763,338.53 × 311,424.85
  4. Step 4: Simplify right side
    553,133.41x = 237,722,588,937.21
  5. Step 5: Solve for x
    x = 237,722,588,937.21/553,133.41
  6. Step 6: Final answer
    x = 429,774.42

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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.