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Finding the Fourth Proportional to 288,071.67, 431,528.76 and 143,541.57

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Solution

The fourth proportional to 288,071.67, 431,528.76 and 143,541.57 is: 215,023.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,071.67 : 431,528.76 = 143,541.57 : x
  2. Step 2: Convert to fraction form
    288,071.67/431,528.76 = 143,541.57/x
  3. Step 3: Cross multiply
    288,071.67x = 431,528.76 × 143,541.57
  4. Step 4: Simplify right side
    288,071.67x = 61,942,315,710.55
  5. Step 5: Solve for x
    x = 61,942,315,710.55/288,071.67
  6. Step 6: Final answer
    x = 215,023.98

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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.