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Finding the Fourth Proportional to 474,830.40, 712,245.60 and 142,406.40

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Solution

The fourth proportional to 474,830.40, 712,245.60 and 142,406.40 is: 213,609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,830.40 : 712,245.60 = 142,406.40 : x
  2. Step 2: Convert to fraction form
    474,830.40/712,245.60 = 142,406.40/x
  3. Step 3: Cross multiply
    474,830.40x = 712,245.60 × 142,406.40
  4. Step 4: Simplify right side
    474,830.40x = 101,428,331,811.84
  5. Step 5: Solve for x
    x = 101,428,331,811.84/474,830.40
  6. Step 6: Final answer
    x = 213,609.60

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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.