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Finding the Fourth Proportional to 553,101.70, 763,353.14 and 311,431.37

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Solution

The fourth proportional to 553,101.70, 763,353.14 and 311,431.37 is: 429,816.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,101.70 : 763,353.14 = 311,431.37 : x
  2. Step 2: Convert to fraction form
    553,101.70/763,353.14 = 311,431.37/x
  3. Step 3: Cross multiply
    553,101.70x = 763,353.14 × 311,431.37
  4. Step 4: Simplify right side
    553,101.70x = 237,732,108,810.08
  5. Step 5: Solve for x
    x = 237,732,108,810.08/553,101.70
  6. Step 6: Final answer
    x = 429,816.27

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1.5x scale

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.