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Finding the Fourth Proportional to 442,988.68, 663,914.40 and 385,828.60

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Solution

The fourth proportional to 442,988.68, 663,914.40 and 385,828.60 is: 578,247.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,988.68 : 663,914.40 = 385,828.60 : x
  2. Step 2: Convert to fraction form
    442,988.68/663,914.40 = 385,828.60/x
  3. Step 3: Cross multiply
    442,988.68x = 663,914.40 × 385,828.60
  4. Step 4: Simplify right side
    442,988.68x = 256,157,163,471.84
  5. Step 5: Solve for x
    x = 256,157,163,471.84/442,988.68
  6. Step 6: Final answer
    x = 578,247.65

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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.