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Finding the Fourth Proportional to 570,393.84, 856,431.83 and 318,167.13

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Solution

The fourth proportional to 570,393.84, 856,431.83 and 318,167.13 is: 477,719.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,393.84 : 856,431.83 = 318,167.13 : x
  2. Step 2: Convert to fraction form
    570,393.84/856,431.83 = 318,167.13/x
  3. Step 3: Cross multiply
    570,393.84x = 856,431.83 × 318,167.13
  4. Step 4: Simplify right side
    570,393.84x = 272,488,457,391.75
  5. Step 5: Solve for x
    x = 272,488,457,391.75/570,393.84
  6. Step 6: Final answer
    x = 477,719.85

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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.