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Finding the Fourth Proportional to 385,011.40, 577,560.30 and 118,769.80

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Solution

The fourth proportional to 385,011.40, 577,560.30 and 118,769.80 is: 178,168.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,011.40 : 577,560.30 = 118,769.80 : x
  2. Step 2: Convert to fraction form
    385,011.40/577,560.30 = 118,769.80/x
  3. Step 3: Cross multiply
    385,011.40x = 577,560.30 × 118,769.80
  4. Step 4: Simplify right side
    385,011.40x = 68,596,721,318.94
  5. Step 5: Solve for x
    x = 68,596,721,318.94/385,011.40
  6. Step 6: Final answer
    x = 178,168.03

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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.