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Finding the Fourth Proportional to 570,471.75, 787,221.08 and 312,299.20

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Solution

The fourth proportional to 570,471.75, 787,221.08 and 312,299.20 is: 430,956.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,471.75 : 787,221.08 = 312,299.20 : x
  2. Step 2: Convert to fraction form
    570,471.75/787,221.08 = 312,299.20/x
  3. Step 3: Cross multiply
    570,471.75x = 787,221.08 × 312,299.20
  4. Step 4: Simplify right side
    570,471.75x = 245,848,513,507.14
  5. Step 5: Solve for x
    x = 245,848,513,507.14/570,471.75
  6. Step 6: Final answer
    x = 430,956.51

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1.5x scale

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.