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Finding the Fourth Proportional to 385,200.72, 578,048.13 and 207,830.97

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Solution

The fourth proportional to 385,200.72, 578,048.13 and 207,830.97 is: 311,879.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,200.72 : 578,048.13 = 207,830.97 : x
  2. Step 2: Convert to fraction form
    385,200.72/578,048.13 = 207,830.97/x
  3. Step 3: Cross multiply
    385,200.72x = 578,048.13 × 207,830.97
  4. Step 4: Simplify right side
    385,200.72x = 120,136,303,564.59
  5. Step 5: Solve for x
    x = 120,136,303,564.59/385,200.72
  6. Step 6: Final answer
    x = 311,879.75

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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.