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Finding the Fourth Proportional to 428,174.98, 643,246.98 and 302,105.74

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Solution

The fourth proportional to 428,174.98, 643,246.98 and 302,105.74 is: 453,853.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,174.98 : 643,246.98 = 302,105.74 : x
  2. Step 2: Convert to fraction form
    428,174.98/643,246.98 = 302,105.74/x
  3. Step 3: Cross multiply
    428,174.98x = 643,246.98 × 302,105.74
  4. Step 4: Simplify right side
    428,174.98x = 194,328,604,895.67
  5. Step 5: Solve for x
    x = 194,328,604,895.67/428,174.98
  6. Step 6: Final answer
    x = 453,853.25

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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.