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Finding the Fourth Proportional to 385,409.40, 578,114.10 and 163,764.60

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Solution

The fourth proportional to 385,409.40, 578,114.10 and 163,764.60 is: 245,646.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,409.40 : 578,114.10 = 163,764.60 : x
  2. Step 2: Convert to fraction form
    385,409.40/578,114.10 = 163,764.60/x
  3. Step 3: Cross multiply
    385,409.40x = 578,114.10 × 163,764.60
  4. Step 4: Simplify right side
    385,409.40x = 94,674,624,340.86
  5. Step 5: Solve for x
    x = 94,674,624,340.86/385,409.40
  6. Step 6: Final answer
    x = 245,646.90

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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.