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Finding the Fourth Proportional to 538,920, 808,376.76 and 139,559.76

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Solution

The fourth proportional to 538,920, 808,376.76 and 139,559.76 is: 209,338.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,920 : 808,376.76 = 139,559.76 : x
  2. Step 2: Convert to fraction form
    538,920/808,376.76 = 139,559.76/x
  3. Step 3: Cross multiply
    538,920x = 808,376.76 × 139,559.76
  4. Step 4: Simplify right side
    538,920x = 112,816,866,615.18
  5. Step 5: Solve for x
    x = 112,816,866,615.18/538,920
  6. Step 6: Final answer
    x = 209,338.80

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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.