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Finding the Fourth Proportional to 419,981.40, 630,628.20 and 242,834.40

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Solution

The fourth proportional to 419,981.40, 630,628.20 and 242,834.40 is: 364,630.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,981.40 : 630,628.20 = 242,834.40 : x
  2. Step 2: Convert to fraction form
    419,981.40/630,628.20 = 242,834.40/x
  3. Step 3: Cross multiply
    419,981.40x = 630,628.20 × 242,834.40
  4. Step 4: Simplify right side
    419,981.40x = 153,138,220,570.08
  5. Step 5: Solve for x
    x = 153,138,220,570.08/419,981.40
  6. Step 6: Final answer
    x = 364,630.96

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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.