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Finding the Fourth Proportional to 538,140.70, 805,655.85 and 328,188.70

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Solution

The fourth proportional to 538,140.70, 805,655.85 and 328,188.70 is: 491,334.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,140.70 : 805,655.85 = 328,188.70 : x
  2. Step 2: Convert to fraction form
    538,140.70/805,655.85 = 328,188.70/x
  3. Step 3: Cross multiply
    538,140.70x = 805,655.85 × 328,188.70
  4. Step 4: Simplify right side
    538,140.70x = 264,407,146,058.90
  5. Step 5: Solve for x
    x = 264,407,146,058.90/538,140.70
  6. Step 6: Final answer
    x = 491,334.60

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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.