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Finding the Fourth Proportional to 474,503.40, 711,140.70 and 419,207.40

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Solution

The fourth proportional to 474,503.40, 711,140.70 and 419,207.40 is: 628,268.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,503.40 : 711,140.70 = 419,207.40 : x
  2. Step 2: Convert to fraction form
    474,503.40/711,140.70 = 419,207.40/x
  3. Step 3: Cross multiply
    474,503.40x = 711,140.70 × 419,207.40
  4. Step 4: Simplify right side
    474,503.40x = 298,115,443,881.18
  5. Step 5: Solve for x
    x = 298,115,443,881.18/474,503.40
  6. Step 6: Final answer
    x = 628,268.30

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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.