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Finding the Fourth Proportional to 420,470.40, 630,878.40 and 154,358.40

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Solution

The fourth proportional to 420,470.40, 630,878.40 and 154,358.40 is: 231,601.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,470.40 : 630,878.40 = 154,358.40 : x
  2. Step 2: Convert to fraction form
    420,470.40/630,878.40 = 154,358.40/x
  3. Step 3: Cross multiply
    420,470.40x = 630,878.40 × 154,358.40
  4. Step 4: Simplify right side
    420,470.40x = 97,381,380,418.56
  5. Step 5: Solve for x
    x = 97,381,380,418.56/420,470.40
  6. Step 6: Final answer
    x = 231,601.04

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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.