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Finding the Fourth Proportional to 978,624.80, 1,467,937.20 and 829,325.60

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Solution

The fourth proportional to 978,624.80, 1,467,937.20 and 829,325.60 is: 1,243,988.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,624.80 : 1,467,937.20 = 829,325.60 : x
  2. Step 2: Convert to fraction form
    978,624.80/1,467,937.20 = 829,325.60/x
  3. Step 3: Cross multiply
    978,624.80x = 1,467,937.20 × 829,325.60
  4. Step 4: Simplify right side
    978,624.80x = 1,217,397,899,152.32
  5. Step 5: Solve for x
    x = 1,217,397,899,152.32/978,624.80
  6. Step 6: Final answer
    x = 1,243,988.40

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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.