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Finding the Fourth Proportional to 428,638.65, 643,064.91 and 302,525.25

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Solution

The fourth proportional to 428,638.65, 643,064.91 and 302,525.25 is: 453,863.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,638.65 : 643,064.91 = 302,525.25 : x
  2. Step 2: Convert to fraction form
    428,638.65/643,064.91 = 302,525.25/x
  3. Step 3: Cross multiply
    428,638.65x = 643,064.91 × 302,525.25
  4. Step 4: Simplify right side
    428,638.65x = 194,543,372,663.98
  5. Step 5: Solve for x
    x = 194,543,372,663.98/428,638.65
  6. Step 6: Final answer
    x = 453,863.35

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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.