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Finding the Fourth Proportional to 520,872, 718,803.36 and 282,408

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Solution

The fourth proportional to 520,872, 718,803.36 and 282,408 is: 389,723.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,872 : 718,803.36 = 282,408 : x
  2. Step 2: Convert to fraction form
    520,872/718,803.36 = 282,408/x
  3. Step 3: Cross multiply
    520,872x = 718,803.36 × 282,408
  4. Step 4: Simplify right side
    520,872x = 202,995,819,290.88
  5. Step 5: Solve for x
    x = 202,995,819,290.88/520,872
  6. Step 6: Final answer
    x = 389,723.04

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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.