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Finding the Fourth Proportional to 570,078.11, 786,697.43 and 315,429.30

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Solution

The fourth proportional to 570,078.11, 786,697.43 and 315,429.30 is: 435,286.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,078.11 : 786,697.43 = 315,429.30 : x
  2. Step 2: Convert to fraction form
    570,078.11/786,697.43 = 315,429.30/x
  3. Step 3: Cross multiply
    570,078.11x = 786,697.43 × 315,429.30
  4. Step 4: Simplify right side
    570,078.11x = 248,147,419,656.70
  5. Step 5: Solve for x
    x = 248,147,419,656.70/570,078.11
  6. Step 6: Final answer
    x = 435,286.70

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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.