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Finding the Fourth Proportional to 385,046.50, 577,803.06 and 163,430.50

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Solution

The fourth proportional to 385,046.50, 577,803.06 and 163,430.50 is: 245,244.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,046.50 : 577,803.06 = 163,430.50 : x
  2. Step 2: Convert to fraction form
    385,046.50/577,803.06 = 163,430.50/x
  3. Step 3: Cross multiply
    385,046.50x = 577,803.06 × 163,430.50
  4. Step 4: Simplify right side
    385,046.50x = 94,430,642,997.33
  5. Step 5: Solve for x
    x = 94,430,642,997.33/385,046.50
  6. Step 6: Final answer
    x = 245,244.78

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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.