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Finding the Fourth Proportional to 288,006.40, 431,491.20 and 235,129.60

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Solution

The fourth proportional to 288,006.40, 431,491.20 and 235,129.60 is: 352,271.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,006.40 : 431,491.20 = 235,129.60 : x
  2. Step 2: Convert to fraction form
    288,006.40/431,491.20 = 235,129.60/x
  3. Step 3: Cross multiply
    288,006.40x = 431,491.20 × 235,129.60
  4. Step 4: Simplify right side
    288,006.40x = 101,456,353,259.52
  5. Step 5: Solve for x
    x = 101,456,353,259.52/288,006.40
  6. Step 6: Final answer
    x = 352,271.18

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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.