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Finding the Fourth Proportional to 553,228.34, 763,447.82 and 311,534.78

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Solution

The fourth proportional to 553,228.34, 763,447.82 and 311,534.78 is: 429,913.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,228.34 : 763,447.82 = 311,534.78 : x
  2. Step 2: Convert to fraction form
    553,228.34/763,447.82 = 311,534.78/x
  3. Step 3: Cross multiply
    553,228.34x = 763,447.82 × 311,534.78
  4. Step 4: Simplify right side
    553,228.34x = 237,840,543,270.27
  5. Step 5: Solve for x
    x = 237,840,543,270.27/553,228.34
  6. Step 6: Final answer
    x = 429,913.89

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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.