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Finding the Fourth Proportional to 442,896,350.40, 664,344,525.60 and 420,725,419.20

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Solution

The fourth proportional to 442,896,350.40, 664,344,525.60 and 420,725,419.20 is: 631,088,128.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,896,350.40 : 664,344,525.60 = 420,725,419.20 : x
  2. Step 2: Convert to fraction form
    442,896,350.40/664,344,525.60 = 420,725,419.20/x
  3. Step 3: Cross multiply
    442,896,350.40x = 664,344,525.60 × 420,725,419.20
  4. Step 4: Simplify right side
    442,896,350.40x = 279,506,629,026,285,120
  5. Step 5: Solve for x
    x = 279,506,629,026,285,120/442,896,350.40
  6. Step 6: Final answer
    x = 631,088,128.80

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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.