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Finding the Fourth Proportional to 385,536.45, 578,468.70 and 243,490.80

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Solution

The fourth proportional to 385,536.45, 578,468.70 and 243,490.80 is: 365,339.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,536.45 : 578,468.70 = 243,490.80 : x
  2. Step 2: Convert to fraction form
    385,536.45/578,468.70 = 243,490.80/x
  3. Step 3: Cross multiply
    385,536.45x = 578,468.70 × 243,490.80
  4. Step 4: Simplify right side
    385,536.45x = 140,851,806,537.96
  5. Step 5: Solve for x
    x = 140,851,806,537.96/385,536.45
  6. Step 6: Final answer
    x = 365,339.79

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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.