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Finding the Fourth Proportional to 420,123.20, 630,184.80 and 262,529.60

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Solution

The fourth proportional to 420,123.20, 630,184.80 and 262,529.60 is: 393,794.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,123.20 : 630,184.80 = 262,529.60 : x
  2. Step 2: Convert to fraction form
    420,123.20/630,184.80 = 262,529.60/x
  3. Step 3: Cross multiply
    420,123.20x = 630,184.80 × 262,529.60
  4. Step 4: Simplify right side
    420,123.20x = 165,442,163,470.08
  5. Step 5: Solve for x
    x = 165,442,163,470.08/420,123.20
  6. Step 6: Final answer
    x = 393,794.40

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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.