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Finding the Fourth Proportional to 578,148.40, 866,056.20 and 400,855.60

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Solution

The fourth proportional to 578,148.40, 866,056.20 and 400,855.60 is: 600,474.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,148.40 : 866,056.20 = 400,855.60 : x
  2. Step 2: Convert to fraction form
    578,148.40/866,056.20 = 400,855.60/x
  3. Step 3: Cross multiply
    578,148.40x = 866,056.20 × 400,855.60
  4. Step 4: Simplify right side
    578,148.40x = 347,163,477,684.72
  5. Step 5: Solve for x
    x = 347,163,477,684.72/578,148.40
  6. Step 6: Final answer
    x = 600,474.68

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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.