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Finding the Fourth Proportional to 520,475.36, 717,978.88 and 316,588.64

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Solution

The fourth proportional to 520,475.36, 717,978.88 and 316,588.64 is: 436,723.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,475.36 : 717,978.88 = 316,588.64 : x
  2. Step 2: Convert to fraction form
    520,475.36/717,978.88 = 316,588.64/x
  3. Step 3: Cross multiply
    520,475.36x = 717,978.88 × 316,588.64
  4. Step 4: Simplify right side
    520,475.36x = 227,303,957,167.92
  5. Step 5: Solve for x
    x = 227,303,957,167.92/520,475.36
  6. Step 6: Final answer
    x = 436,723.76

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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.