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Finding the Fourth Proportional to 653,418.75, 980,379.40 and 316,433.49

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Solution

The fourth proportional to 653,418.75, 980,379.40 and 316,433.49 is: 474,771.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,418.75 : 980,379.40 = 316,433.49 : x
  2. Step 2: Convert to fraction form
    653,418.75/980,379.40 = 316,433.49/x
  3. Step 3: Cross multiply
    653,418.75x = 980,379.40 × 316,433.49
  4. Step 4: Simplify right side
    653,418.75x = 310,224,871,191.91
  5. Step 5: Solve for x
    x = 310,224,871,191.91/653,418.75
  6. Step 6: Final answer
    x = 474,771.92

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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.