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Finding the Fourth Proportional to 474,545.52, 655,584.12 and 311,588.64

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Solution

The fourth proportional to 474,545.52, 655,584.12 and 311,588.64 is: 430,459.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,545.52 : 655,584.12 = 311,588.64 : x
  2. Step 2: Convert to fraction form
    474,545.52/655,584.12 = 311,588.64/x
  3. Step 3: Cross multiply
    474,545.52x = 655,584.12 × 311,588.64
  4. Step 4: Simplify right side
    474,545.52x = 204,272,564,356.40
  5. Step 5: Solve for x
    x = 204,272,564,356.40/474,545.52
  6. Step 6: Final answer
    x = 430,459.37

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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.