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Finding the Fourth Proportional to 656,106.40, 984,620.40 and 420,023.20

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Solution

The fourth proportional to 656,106.40, 984,620.40 and 420,023.20 is: 630,329.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,106.40 : 984,620.40 = 420,023.20 : x
  2. Step 2: Convert to fraction form
    656,106.40/984,620.40 = 420,023.20/x
  3. Step 3: Cross multiply
    656,106.40x = 984,620.40 × 420,023.20
  4. Step 4: Simplify right side
    656,106.40x = 413,563,411,193.28
  5. Step 5: Solve for x
    x = 413,563,411,193.28/656,106.40
  6. Step 6: Final answer
    x = 630,329.79

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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.