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Finding the Fourth Proportional to 288,941.72, 432,825.06 and 235,823

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Solution

The fourth proportional to 288,941.72, 432,825.06 and 235,823 is: 353,254.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,941.72 : 432,825.06 = 235,823 : x
  2. Step 2: Convert to fraction form
    288,941.72/432,825.06 = 235,823/x
  3. Step 3: Cross multiply
    288,941.72x = 432,825.06 × 235,823
  4. Step 4: Simplify right side
    288,941.72x = 102,070,104,124.38
  5. Step 5: Solve for x
    x = 102,070,104,124.38/288,941.72
  6. Step 6: Final answer
    x = 353,254.99

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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.