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Finding the Fourth Proportional to 523,873.02, 723,031.74 and 309,065.88

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Solution

The fourth proportional to 523,873.02, 723,031.74 and 309,065.88 is: 426,562.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,873.02 : 723,031.74 = 309,065.88 : x
  2. Step 2: Convert to fraction form
    523,873.02/723,031.74 = 309,065.88/x
  3. Step 3: Cross multiply
    523,873.02x = 723,031.74 × 309,065.88
  4. Step 4: Simplify right side
    523,873.02x = 223,464,440,991.03
  5. Step 5: Solve for x
    x = 223,464,440,991.03/523,873.02
  6. Step 6: Final answer
    x = 426,562.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.