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Finding the Fourth Proportional to 428,951.31, 591,953.51 and 237,964.70

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Solution

The fourth proportional to 428,951.31, 591,953.51 and 237,964.70 is: 328,391.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,951.31 : 591,953.51 = 237,964.70 : x
  2. Step 2: Convert to fraction form
    428,951.31/591,953.51 = 237,964.70/x
  3. Step 3: Cross multiply
    428,951.31x = 591,953.51 × 237,964.70
  4. Step 4: Simplify right side
    428,951.31x = 140,864,035,271.51
  5. Step 5: Solve for x
    x = 140,864,035,271.51/428,951.31
  6. Step 6: Final answer
    x = 328,391.67

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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.