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Finding the Fourth Proportional to 288,213.80, 432,584.38 and 146,157.12

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Solution

The fourth proportional to 288,213.80, 432,584.38 and 146,157.12 is: 219,369.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,213.80 : 432,584.38 = 146,157.12 : x
  2. Step 2: Convert to fraction form
    288,213.80/432,584.38 = 146,157.12/x
  3. Step 3: Cross multiply
    288,213.80x = 432,584.38 × 146,157.12
  4. Step 4: Simplify right side
    288,213.80x = 63,225,287,137.79
  5. Step 5: Solve for x
    x = 63,225,287,137.79/288,213.80
  6. Step 6: Final answer
    x = 219,369.40

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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.