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Finding the Fourth Proportional to 288,609.72, 432,915.06 and 120,127.80

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Solution

The fourth proportional to 288,609.72, 432,915.06 and 120,127.80 is: 180,191.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,609.72 : 432,915.06 = 120,127.80 : x
  2. Step 2: Convert to fraction form
    288,609.72/432,915.06 = 120,127.80/x
  3. Step 3: Cross multiply
    288,609.72x = 432,915.06 × 120,127.80
  4. Step 4: Simplify right side
    288,609.72x = 52,005,133,744.67
  5. Step 5: Solve for x
    x = 52,005,133,744.67/288,609.72
  6. Step 6: Final answer
    x = 180,191.90

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1.5x scale

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.