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Finding the Fourth Proportional to 418,101.60, 627,152.40 and 415,768.80

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Solution

The fourth proportional to 418,101.60, 627,152.40 and 415,768.80 is: 623,653.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,101.60 : 627,152.40 = 415,768.80 : x
  2. Step 2: Convert to fraction form
    418,101.60/627,152.40 = 415,768.80/x
  3. Step 3: Cross multiply
    418,101.60x = 627,152.40 × 415,768.80
  4. Step 4: Simplify right side
    418,101.60x = 260,750,400,765.12
  5. Step 5: Solve for x
    x = 260,750,400,765.12/418,101.60
  6. Step 6: Final answer
    x = 623,653.20

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1.5x scale

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.