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Finding the Fourth Proportional to 535,900.34, 804,008.42 and 215,887.53

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Solution

The fourth proportional to 535,900.34, 804,008.42 and 215,887.53 is: 323,894.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,900.34 : 804,008.42 = 215,887.53 : x
  2. Step 2: Convert to fraction form
    535,900.34/804,008.42 = 215,887.53/x
  3. Step 3: Cross multiply
    535,900.34x = 804,008.42 × 215,887.53
  4. Step 4: Simplify right side
    535,900.34x = 173,575,390,813.57
  5. Step 5: Solve for x
    x = 173,575,390,813.57/535,900.34
  6. Step 6: Final answer
    x = 323,894.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.