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Finding the Fourth Proportional to 385,257.02, 577,973.02 and 207,760.10

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Solution

The fourth proportional to 385,257.02, 577,973.02 and 207,760.10 is: 311,687.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,257.02 : 577,973.02 = 207,760.10 : x
  2. Step 2: Convert to fraction form
    385,257.02/577,973.02 = 207,760.10/x
  3. Step 3: Cross multiply
    385,257.02x = 577,973.02 × 207,760.10
  4. Step 4: Simplify right side
    385,257.02x = 120,079,732,432.50
  5. Step 5: Solve for x
    x = 120,079,732,432.50/385,257.02
  6. Step 6: Final answer
    x = 311,687.33

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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.