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Finding the Fourth Proportional to 428,777.58, 591,698.16 and 237,808.74

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Solution

The fourth proportional to 428,777.58, 591,698.16 and 237,808.74 is: 328,167.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,777.58 : 591,698.16 = 237,808.74 : x
  2. Step 2: Convert to fraction form
    428,777.58/591,698.16 = 237,808.74/x
  3. Step 3: Cross multiply
    428,777.58x = 591,698.16 × 237,808.74
  4. Step 4: Simplify right side
    428,777.58x = 140,710,993,889.92
  5. Step 5: Solve for x
    x = 140,710,993,889.92/428,777.58
  6. Step 6: Final answer
    x = 328,167.80

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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.