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Finding the Fourth Proportional to 615,814.80, 922,847.40 and 428,607.60

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Solution

The fourth proportional to 615,814.80, 922,847.40 and 428,607.60 is: 642,302.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,814.80 : 922,847.40 = 428,607.60 : x
  2. Step 2: Convert to fraction form
    615,814.80/922,847.40 = 428,607.60/x
  3. Step 3: Cross multiply
    615,814.80x = 922,847.40 × 428,607.60
  4. Step 4: Simplify right side
    615,814.80x = 395,539,409,280.24
  5. Step 5: Solve for x
    x = 395,539,409,280.24/615,814.80
  6. Step 6: Final answer
    x = 642,302.54

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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.