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Finding the Fourth Proportional to 570,391.38, 856,428.14 and 318,164.68

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Solution

The fourth proportional to 570,391.38, 856,428.14 and 318,164.68 is: 477,716.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,391.38 : 856,428.14 = 318,164.68 : x
  2. Step 2: Convert to fraction form
    570,391.38/856,428.14 = 318,164.68/x
  3. Step 3: Cross multiply
    570,391.38x = 856,428.14 × 318,164.68
  4. Step 4: Simplify right side
    570,391.38x = 272,485,185,106.10
  5. Step 5: Solve for x
    x = 272,485,185,106.10/570,391.38
  6. Step 6: Final answer
    x = 477,716.17

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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.