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Finding the Fourth Proportional to 656,123.40, 984,645.90 and 420,040.20

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Solution

The fourth proportional to 656,123.40, 984,645.90 and 420,040.20 is: 630,355.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,123.40 : 984,645.90 = 420,040.20 : x
  2. Step 2: Convert to fraction form
    656,123.40/984,645.90 = 420,040.20/x
  3. Step 3: Cross multiply
    656,123.40x = 984,645.90 × 420,040.20
  4. Step 4: Simplify right side
    656,123.40x = 413,590,860,765.18
  5. Step 5: Solve for x
    x = 413,590,860,765.18/656,123.40
  6. Step 6: Final answer
    x = 630,355.30

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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.