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Finding the Fourth Proportional to 288,000.54, 397,441.89 and 160,681.50

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Solution

The fourth proportional to 288,000.54, 397,441.89 and 160,681.50 is: 221,741.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,000.54 : 397,441.89 = 160,681.50 : x
  2. Step 2: Convert to fraction form
    288,000.54/397,441.89 = 160,681.50/x
  3. Step 3: Cross multiply
    288,000.54x = 397,441.89 × 160,681.50
  4. Step 4: Simplify right side
    288,000.54x = 63,861,559,048.04
  5. Step 5: Solve for x
    x = 63,861,559,048.04/288,000.54
  6. Step 6: Final answer
    x = 221,741.11

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1.5x scale

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.