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Finding the Fourth Proportional to 653,921.16, 902,491.80 and 367,435

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Solution

The fourth proportional to 653,921.16, 902,491.80 and 367,435 is: 507,105.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,921.16 : 902,491.80 = 367,435 : x
  2. Step 2: Convert to fraction form
    653,921.16/902,491.80 = 367,435/x
  3. Step 3: Cross multiply
    653,921.16x = 902,491.80 × 367,435
  4. Step 4: Simplify right side
    653,921.16x = 331,607,074,533
  5. Step 5: Solve for x
    x = 331,607,074,533/653,921.16
  6. Step 6: Final answer
    x = 507,105.59

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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.