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Finding the Fourth Proportional to 513,842.40, 770,302.80 and 457,855.20

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Solution

The fourth proportional to 513,842.40, 770,302.80 and 457,855.20 is: 686,372.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,842.40 : 770,302.80 = 457,855.20 : x
  2. Step 2: Convert to fraction form
    513,842.40/770,302.80 = 457,855.20/x
  3. Step 3: Cross multiply
    513,842.40x = 770,302.80 × 457,855.20
  4. Step 4: Simplify right side
    513,842.40x = 352,687,142,554.56
  5. Step 5: Solve for x
    x = 352,687,142,554.56/513,842.40
  6. Step 6: Final answer
    x = 686,372.21

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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.