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Finding the Fourth Proportional to 428,397.15, 641,334.81 and 316,576.25

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Solution

The fourth proportional to 428,397.15, 641,334.81 and 316,576.25 is: 473,932.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,397.15 : 641,334.81 = 316,576.25 : x
  2. Step 2: Convert to fraction form
    428,397.15/641,334.81 = 316,576.25/x
  3. Step 3: Cross multiply
    428,397.15x = 641,334.81 × 316,576.25
  4. Step 4: Simplify right side
    428,397.15x = 203,031,369,529.76
  5. Step 5: Solve for x
    x = 203,031,369,529.76/428,397.15
  6. Step 6: Final answer
    x = 473,932.58

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1.5x scale

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.