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Finding the Fourth Proportional to 630,157.24, 945,231 and 156,839.41

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Solution

The fourth proportional to 630,157.24, 945,231 and 156,839.41 is: 235,257.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,157.24 : 945,231 = 156,839.41 : x
  2. Step 2: Convert to fraction form
    630,157.24/945,231 = 156,839.41/x
  3. Step 3: Cross multiply
    630,157.24x = 945,231 × 156,839.41
  4. Step 4: Simplify right side
    630,157.24x = 148,249,472,353.71
  5. Step 5: Solve for x
    x = 148,249,472,353.71/630,157.24
  6. Step 6: Final answer
    x = 235,257.91

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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.