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Finding the Fourth Proportional to 538,921.40, 807,215.70 and 289,311.80

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Solution

The fourth proportional to 538,921.40, 807,215.70 and 289,311.80 is: 433,341.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,921.40 : 807,215.70 = 289,311.80 : x
  2. Step 2: Convert to fraction form
    538,921.40/807,215.70 = 289,311.80/x
  3. Step 3: Cross multiply
    538,921.40x = 807,215.70 × 289,311.80
  4. Step 4: Simplify right side
    538,921.40x = 233,537,027,155.26
  5. Step 5: Solve for x
    x = 233,537,027,155.26/538,921.40
  6. Step 6: Final answer
    x = 433,341.54

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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.