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Finding the Fourth Proportional to 978,005.80, 1,467,008.70 and 499,708.90

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Solution

The fourth proportional to 978,005.80, 1,467,008.70 and 499,708.90 is: 749,563.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,005.80 : 1,467,008.70 = 499,708.90 : x
  2. Step 2: Convert to fraction form
    978,005.80/1,467,008.70 = 499,708.90/x
  3. Step 3: Cross multiply
    978,005.80x = 1,467,008.70 × 499,708.90
  4. Step 4: Simplify right side
    978,005.80x = 733,077,303,767.43
  5. Step 5: Solve for x
    x = 733,077,303,767.43/978,005.80
  6. Step 6: Final answer
    x = 749,563.35

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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.