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Finding the Fourth Proportional to 438,420.60, 657,630.90 and 411,848.55

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Solution

The fourth proportional to 438,420.60, 657,630.90 and 411,848.55 is: 617,772.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,420.60 : 657,630.90 = 411,848.55 : x
  2. Step 2: Convert to fraction form
    438,420.60/657,630.90 = 411,848.55/x
  3. Step 3: Cross multiply
    438,420.60x = 657,630.90 × 411,848.55
  4. Step 4: Simplify right side
    438,420.60x = 270,844,332,600.20
  5. Step 5: Solve for x
    x = 270,844,332,600.20/438,420.60
  6. Step 6: Final answer
    x = 617,772.83

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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.