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Finding the Fourth Proportional to 602,430,410.40, 903,645,615.60 and 418,764,400.80

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Solution

The fourth proportional to 602,430,410.40, 903,645,615.60 and 418,764,400.80 is: 628,146,601.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,430,410.40 : 903,645,615.60 = 418,764,400.80 : x
  2. Step 2: Convert to fraction form
    602,430,410.40/903,645,615.60 = 418,764,400.80/x
  3. Step 3: Cross multiply
    602,430,410.40x = 903,645,615.60 × 418,764,400.80
  4. Step 4: Simplify right side
    602,430,410.40x = 378,414,614,752,281,152
  5. Step 5: Solve for x
    x = 378,414,614,752,281,152/602,430,410.40
  6. Step 6: Final answer
    x = 628,146,601.20

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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.